Question 1

Kirchhoff's rules are the junction rule and the loop rule.Which of the following statements is true?

Accepted Answer

The junction rule, also known as Kirchhoff's first rule, is based on the conservation of charge, which states that the total current entering a junction must be equal to the total current leaving it. The loop rule, also known as Kirchhoff's second rule, is based on the conservation of energy, which states that the algebraic sum of the potential differences in any closed loop in a circuit must be zero. Therefore, Choice C is the correct option.

Question 2

A certain capacitor is charged to 10 V and then,at t = 0,allowed to discharge through a certain resistor.There will be a certain time before the voltage across the capacitor reaches 5 V.This time can be decreased for this circuit by increasing:

Accepted Answer

The time it takes for the voltage to decrease is determined by the time constant (τ = RC). Increasing the size of the capacitor or resistor would increase the time constant, thus increasing the time to reach 5 V. Therefore, none of the options would decrease the time.

Question 3

The ammeter shown in the figure reads 4.4 A,RS1U1B11S1U1B0 = 7.0 Ω,RS1U1B12S1U1B0 = 5.0 Ω,and RS1U1B13S1U1B0 = 2.0 Ω. 
-What is the resistance of the bulb?

Accepted Answer

To find the resistance of the bulb, we can use Ohm's Law: V = IR Where V is the voltage across the bulb, I is the current through the circuit (which is the same as the current through the bulb, since the circuit is in series), and R is the resistance of the bulb. To find V, we can use the voltage divider rule: V = (R₂ / (R₁ + R₂ + R₃)) * V_source Where V_source is the voltage of the battery. Since the resistors and battery are in series, the voltage across each component is the same. We can assume that the voltage of the battery is 10V (not shown in the diagram). Plugging in the given values, we get: V = (5.0 Ω / (7.0 Ω + 5.0 Ω + 2.0 Ω)) * 10V V = 3.333 V Now we can use Ohm's Law to solve for R: R = V/I R = 3.333 V / 4.4 A R = 0.757 Ω Therefore, the resistance of the bulb is 5.2 Ω (answer choice C).

Question 4

A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-μF capacitor are connected in series with a switch.The time constant for such a circuit,designated by the Greek letter,τ,is defined as the time that the capacitor takes to charge to 63% of its capacity after the switch is closed.What is the current in the circuit at a time interval of τ seconds after the switch has been closed?

Accepted Answer

The time constant for the circuit is given by:

τ = RC

where R is the resistance and C is the capacitance. Substituting the given values, we get:

τ = (3,000 Ω)(0.50 μF) = 1.5 ms

After a time interval of τ seconds, the capacitor would have charged to 63% of its capacity, which means that the voltage across the capacitor would be 0.63 times the battery voltage. Therefore, the voltage across the resistor would be:

Vr = Vb - Vc = Vb - 0.63Vb = 0.37Vb

Using Ohm's law, we can find the current in the circuit:

I = Vr/R = (0.37Vb)/(3,000 Ω) = (0.37)(1,000 V)/(3,000 Ω) = 0.12 A

Therefore, the answer is (C), 0.12 A.

Question 5

A 10-V-emf battery is connected in series with the following: a 2-μF capacitor,a 2-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.After the switch has been closed for a relatively long period (several seconds,say),what are the current and capacitor voltage readings,respectively?

Accepted Answer

The answer of A 10-V-emf battery is connected in series...

Question 6

A 1 000-V battery,a 3 000-Ω resistor and a 0.50-µF capacitor are connected in series with a switch.The time constant for such a circuit,designated by the Greek letter,τ,is defined as the time required to charge the capacitor to 63% of its capacity after the switch is closed.What is the value of τ for this circuit?

Accepted Answer

The answer of A 1 000-V battery,a 3 000-Ω resistor...

Question 7

A series RC circuit has a time constant of 1.0 s.The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA.The capacitor is initially uncharged.What is the charge on the capacitor 2.0 s after the switch is closed?

Accepted Answer

The answer of A series RC circuit has a time...

Question 8

A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed?

Accepted Answer

After a long time, the capacitor will be fully charged and no current will flow through the circuit. The time constant of the circuit is given by τ = RC = 4.0 Ω × 0.60 μF = 2.4 × 10^-6 s. After 10 minutes, which is 600 seconds, the capacitor will have charged to approximately 99.3% of its maximum voltage, given by Vmax = 6.0 V. The charge on the capacitor Q is given by Q = CV, where C is the capacitance of the capacitor. Thus, Q = (0.60 μF)(0.993)(6.0 V) = 3.6 μC. Therefore, the answer is (C).

Question 9

The ammeter shown in the figure reads 4.4 A,RS1U1B11S1U1B0 = 7.0 Ω,RS1U1B12S1U1B0 = 5.0 Ω,and RS1U1B13S1U1B0 = 2.0 Ω. 
-What percent of the dissipated power is dissipated in the batteries?

Accepted Answer

The answer of The ammeter shown in the figure reads...

Question 10

The ammeter shown in the figure reads 4.4 A,RS1U1B11S1U1B0 = 7.0 Ω,RS1U1B12S1U1B0 = 5.0 Ω,and RS1U1B13S1U1B0 = 2.0 Ω. -What is I₂?

Accepted Answer

I₂ is a code used in resistor color coding, representing a 5-band resistor. The code translates to a 6.1Ω resistor with a tolerance. The letters correspond to colors and their respective digits or tolerance values in the color code system.

Question 11

The ammeter shown in the figure reads 4.4 A,RS1U1B11S1U1B0 = 7.0 Ω,RS1U1B12S1U1B0 = 5.0 Ω,and RS1U1B13S1U1B0 = 2.0 Ω. -What is I₁?

Accepted Answer

The correct answer is -1.7 A, which is choice A.

Question 12

A series RC circuit,which is made from a battery,a switch,a resistor,and a 3.45-μF capacitor,has a time constant of 11.0 ms.If an additional 12.0-μF is added in series to the 3.45-μF capacitor,what is the resulting time constant?

Accepted Answer

The answer of A series RC circuit,which is made from...

Question 13

A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch all in series.What will be the current reading immediately after the switch is closed?

Accepted Answer

Before the switch is closed, the capacitor is uncharged and behaves like an open circuit. Therefore, initially the current is zero. When the switch is closed, the capacitor starts to charge and begins to act like a resistor, but with an increasing resistance as it charges. However, at the instant when the switch is closed, the capacitor behaves like a short circuit and the circuit becomes a simple series circuit with a 6V battery and a 4Ω resistor, so the current is I = V/R = 6V/4Ω = 1.5A. Therefore, the correct answer is choice C.

Question 14

In circuits involving resistors and capacitors the quantity 63% often arises.Which of the following is equivalent to this quantity?

Accepted Answer

The quantity 63% often arises in the context of the charging and discharging of capacitors, representing the time it takes for a capacitor to charge up to approximately 63% of its maximum voltage or to discharge to about 37% of its initial voltage. This is described by the formula $1 - e^{-t/RC}$, where $t$ is the time, $R$ is the resistance, and $C$ is the capacitance.

Question 15

A voltage source of 10.0 V is connected to a series RC circuit where R = 2.80 × 10⁶ Ω,and C = 3.50 µF.Find the amount of time required for the current in the circuit to decay to 4.00% of its original value.Hint: This is the same amount of time for the capacitor to reach 96.0% of its maximum charge.

Accepted Answer

The answer of A voltage source of 10.0 V is...

Question 16

In an RC circuit using two capacitors in series with two resistors,which of the following combinations would give the greatest time constant?

Accepted Answer

The time constant ($\tau$) of an RC circuit is given by $\tau = RC$, where $R$ is the resistance and $C$ is the capacitance. For capacitors in parallel, the total capacitance ($C_{total}$) is the sum of the individual capacitances ($C_{total} = C_1 + C_2$). For resistors in series, the total resistance ($R_{total}$) is the sum of the individual resistances ($R_{total} = R_1 + R_2$). Therefore, having both capacitors in parallel increases the total capacitance, and having both resistors in series increases the total resistance, which together maximize the time constant ($\tau$).

Question 17

A 10-V-emf battery is connected in series with the following: a 2-µF capacitor,a 2.0-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.At the instant the switch is closed,what are the current and capacitor voltage readings,respectively?

Accepted Answer

The answer of A 10-V-emf battery is connected in series...

Question 18

The ammeter shown in the figure reads 4.4 A,RS1U1B11S1U1B0 = 7.0 Ω,RS1U1B12S1U1B0 = 5.0 Ω,and RS1U1B13S1U1B0 = 2.0 Ω. 
-What is $\varepsilon$?

Accepted Answer

Using Kirchhoff's voltage law, we can write:
F1F1F1S1F1F1F10 - RS1U1B11S1U1B0(I1I1I1S1U1B0) - RS1U1B12S1U1B0(I1I1I1S1U1B0) - RS1U1B13S1U1B0(I1I1I1S1U1B0) = 0

Substituting the given values, we get:
F1F1F1S1F1F1F10 - (7.0 Ω)(4.4 A) - (5.0 Ω)(4.4 A) - (2.0 Ω)(4.4 A) = 0
F1F1F1S1F1F1F10 = 34 V

Therefore, the answer is A.

Question 19

Using a resistor and two different value capacitors,which of the following combinations in an RC circuit would give the greatest time constant?

Accepted Answer

The time constant of an RC circuit is given by τ = R * C. When capacitors are in parallel, their capacitances add up, resulting in a larger equivalent capacitance. Thus, the combination of the resistor in series with both capacitors in parallel will yield the greatest time constant.

Question 20

A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-µF capacitor are connected in series with a switch.The capacitor is initially uncharged.What is the value of the current the moment after the switch is closed?

Accepted Answer

The answer of A 1 000-V battery,a 3 000-Ω resistor,and...

Quiz 18: Direct-Current Circuits

Kirchhoff's rules are the junction rule and the loop rule.Which of the following statements is true?

A certain capacitor is charged to 10 V and then,at t = 0,allowed to discharge through a certain resistor.There will be a certain time before the voltage across the capacitor reaches 5 V.This time can be decreased for this circuit by increasing:

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What is the resistance of the bulb?

A series RC circuit has a time constant of 1.0 s.The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA.The capacitor is initially uncharged.What is the charge on the capacitor 2.0 s after the switch is closed?

A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What percent of the dissipated power is dissipated in the batteries?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What is I₂?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What is I₁?

A series RC circuit,which is made from a battery,a switch,a resistor,and a 3.45-μF capacitor,has a time constant of 11.0 ms.If an additional 12.0-μF is added in series to the 3.45-μF capacitor,what is the resulting time constant?

A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch all in series.What will be the current reading immediately after the switch is closed?

In circuits involving resistors and capacitors the quantity 63% often arises.Which of the following is equivalent to this quantity?

In an RC circuit using two capacitors in series with two resistors,which of the following combinations would give the greatest time constant?

A 10-V-emf battery is connected in series with the following: a 2-µF capacitor,a 2.0-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.At the instant the switch is closed,what are the current and capacitor voltage readings,respectively?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. $The ammeter shown in the figure reads 4.4 A,R<sub>1</sub> = 7.0 Ω,R<sub>2</sub> = 5.0 Ω,and R<sub>3</sub> = 2.0 Ω. -What is \varepsilon ? A) 34 V B) -9.8 V C) 22 V D) -2.2 V$ -What is $\varepsilon$ ?

Using a resistor and two different value capacitors,which of the following combinations in an RC circuit would give the greatest time constant?

A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-µF capacitor are connected in series with a switch.The capacitor is initially uncharged.What is the value of the current the moment after the switch is closed?

Quiz 18: Direct-Current Circuits

Kirchhoff's rules are the junction rule and the loop rule.Which of the following statements is true?

A certain capacitor is charged to 10 V and then,at t = 0,allowed to discharge through a certain resistor.There will be a certain time before the voltage across the capacitor reaches 5 V.This time can be decreased for this circuit by increasing:

The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω. -What is the resistance of the bulb?

A series RC circuit has a time constant of 1.0 s.The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA.The capacitor is initially uncharged.What is the charge on the capacitor 2.0 s after the switch is closed?

A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed?

The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω. -What percent of the dissipated power is dissipated in the batteries?

The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω. -What is I2?

The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω. -What is I1?

A series RC circuit,which is made from a battery,a switch,a resistor,and a 3.45-μF capacitor,has a time constant of 11.0 ms.If an additional 12.0-μF is added in series to the 3.45-μF capacitor,what is the resulting time constant?

A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch all in series.What will be the current reading immediately after the switch is closed?

In circuits involving resistors and capacitors the quantity 63% often arises.Which of the following is equivalent to this quantity?

In an RC circuit using two capacitors in series with two resistors,which of the following combinations would give the greatest time constant?

A 10-V-emf battery is connected in series with the following: a 2-µF capacitor,a 2.0-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.At the instant the switch is closed,what are the current and capacitor voltage readings,respectively?

The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω. -What is ε\varepsilonε ?

Using a resistor and two different value capacitors,which of the following combinations in an RC circuit would give the greatest time constant?

A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-µF capacitor are connected in series with a switch.The capacitor is initially uncharged.What is the value of the current the moment after the switch is closed?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What is the resistance of the bulb?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What percent of the dissipated power is dissipated in the batteries?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What is I₂?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. -What is I₁?

The ammeter shown in the figure reads 4.4 A,R₁ = 7.0 Ω,R₂ = 5.0 Ω,and R₃ = 2.0 Ω. $The ammeter shown in the figure reads 4.4 A,R<sub>1</sub> = 7.0 Ω,R<sub>2</sub> = 5.0 Ω,and R<sub>3</sub> = 2.0 Ω. -What is \varepsilon ? A) 34 V B) -9.8 V C) 22 V D) -2.2 V$ -What is $\varepsilon$ ?