Question 1

If a  , 1200$\Omega$ and  10$\mathrm { k } \Omega$  resistor are connected in parallel across a  25 V source, how much current flows through the 1200 $\Omega$ resistor?
A)  20.8 mA 
B)  2.5 mA
C)  50 mA
D)  2.4 mA

Accepted Answer

A

Question 2

The total power dissipated by a parallel circuit can be found by adding the individual powers.

Accepted Answer

In a parallel circuit, the total power dissipated is the sum of the powers dissipated by each individual branch. Therefore, the statement is true.

Question 3

If three equal resistors are connected in parallel across 12 V, each resistor drops 4 V.

Accepted Answer

When three equal resistors are connected in parallel, the voltage across each resistor will be the same (in this case 12 V), and the current will be divided among the three resistors. Therefore, each resistor would drop 4 V only if the total voltage across all three resistors was 12 V, which is not the case.

Question 4

The total resistance of four resistors in parallel is always less than the smallest resistance.

Accepted Answer

When resistors are connected in parallel, the total resistance decreases because the current has multiple paths to take, effectively reducing the load on any single path, thus the total resistance is always less than the smallest individual resistance in the parallel circuit.

Question 5

If one branch of a parallel circuit shorts, the total resistance decreases.

Accepted Answer

In a parallel circuit, each branch has its own path for current flow. If one branch shorts (meaning its resistance becomes very low or practically zero), the total resistance of the circuit decreases because the overall path for current flow has less resistance, allowing more current to flow through the circuit.

Question 6

If I_R1=0.065 mA and I_R2=0.098 mA in a two branch parallel circuit,I_T=0.163mA

Accepted Answer

This is true because the total current in a parallel circuit is the sum of the currents in each branch. Therefore, I_T = I_R1 + I_R2 = 0.065 mA + 0.098 mA = 0.163 mA.

Question 7

If a  2.2  $k \Omega$ resistor and a  3.3$\mathrm { k } \Omega$  resistor are connected in parallel,  RT  equals________
A)  2.2  $\mathrm { k } \Omega$
B)  3.3  $\mathrm { k } \Omega$
C) greater than  2.2  $\mathrm { k } \Omega$
D) less than  2.2  $\mathrm { k } \Omega$

Accepted Answer

When resistors are connected in parallel, the total resistance (RT) is less than the smallest individual resistance in the circuit.

Question 8

Accurate troubleshooting of a parallel circuit cannot be performedW ith a voltmeter.

Accepted Answer

A voltmeter measures voltage, which is the same across all branches of a parallel circuit. Therefore, it cannot be used to isolate faults in individual branches.

Question 9

If twelve 1.5 $\mathrm { M } \Omega$ resistors are connected in parallel across 50 V, R_T equals______ A) 0.125 $\mathrm { M } \Omega$ B) 1 $\mathrm { M } \Omega$ C) 1.25 $\mathrm { M } \Omega$ D) 1.5 $\mathrm { M } \Omega$

Accepted Answer

The equivalent resistance of resistors in parallel is given by $1/R_{eq} = 1/R_1 + 1/R_2 + \ldots + 1/R_n$. For twelve 1.5 MΩ resistors in parallel, $1/R_{eq} = 12/1.5 = 8$ MΩ$^{-1}$, so $R_{eq} = 0.125$ MΩ.

Question 10

IT equals 0.1 mA in a 3-branch parallel circuit. If I₁=0.022 mA and I₂=0.007 mA, I₃=? A) 0.029 mA B) 0.071 mA C) 0.213 mA D) 0.142 mA

Accepted Answer

In a parallel circuit, the total current (IT) is the sum of the currents through each branch. Therefore, I3 = IT - I1 - I2 = 0.1 mA - 0.022 mA - 0.007 mA = 0.071 mA.

Question 11

Kirchhoffʹs Current Law states that the sum of the currents into a junction must equal the sum of the currents out of that junction.

Accepted Answer

Kirchhoff's Current Law (KCL) is a fundamental law in electrical engineering that states that the algebraic sum of the currents entering and exiting a junction (or node) must be equal to zero. This is because charge is conserved, and so the total amount of current flowing into a junction must be equal to the total amount flowing out.

Question 12

If I_R1=75 mA and I_R2=12.7 mA in a two branch parallel circuit, I_T=85.7 mA .

Accepted Answer

In a parallel circuit, the total current is the sum of the currents through each branch, so I_T should equal 75 mA + 12.7 mA = 87.7 mA, not 85.7 mA.

Question 13

If a  5.5  $\mathrm { k } \Omega$, 22 $\mathrm { k } \Omega$ and  500$\Omega$resistor are connected in parallel, what is  RT  ?
A)  28.1  $\mathrm { k } \Omega$
B)  449$\Omega$
C)  330$\Omega$
D)  27.6 $\mathrm { k } \Omega$

Accepted Answer

When resistors are connected in parallel, the equivalent resistance (RT) is given by the formula:

$$\frac{1}{R_T}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+...$$

where R1, R2, R3, ... are the resistances of individual resistors.

Substituting the given values:

$$\frac{1}{R_T}=\frac{1}{5500}+\frac{1}{22000}+\frac{1}{500}$$

$$\frac{1}{R_T}=\frac{1}{5500}+\frac{1}{22000}+\frac{44}{22000}$$

$$\frac{1}{R_T}=\frac{1}{5500}+\frac{45}{22000}$$

$$\frac{1}{R_T}=\frac{1}{5500}+\frac{1}{489}$$

$$\frac{1}{R_T}=\frac{66}{27045}$$

$$R_T=\frac{27045}{66}$$

$$R_T=409.09\Omega$$

Thus, the correct option is B) 449$\Omega$ (which is the closest value to 409.09$\Omega$).

Question 14

In a three-resistor parallel circuit, R₁=0.22 $M \Omega$ and R₂=1 $M \Omega$ . If R T=0.1166 $M \Omega$, then what is the value of R₃ ? A) 1.34 M$\Omega$ B) 0.134 M$\Omega$ C) 0.33 M$\Omega$ D) 13,400$\Omega$

Accepted Answer

The answer of In a three-resistor parallel circuit, R₁=0.22...

Question 15

Measurement of total current is accomplishedW ith the ammeter in seriesW ith the source voltage

Accepted Answer

Total current in a circuit can be measured using an ammeter, which is connected in series with the source voltage.

Question 16

If a 1 $\mathrm { M } \Omega$ resistor,  0.47  $\mathrm { M } \Omega$ resistor and  0.5  $\mathrm { M } \Omega$ resistor are connected in parallel across an  18 V  source, what is the total current if the 1 $\mathrm { M } \Omega$ resistor opens?
A)  74.3  $\mu A$
B)  74.3 mA
C)  92.3 mA
D)  92.3  $\mu A$

Accepted Answer

When the 1 MΩ resistor opens, the circuit becomes a simple parallel circuit with two resistors: 0.47 MΩ and 0.5 MΩ. The total resistance of the circuit is:```1/RT = 1/R1 + 1/R21/RT = 1/0.47 MΩ + 1/0.5 MΩRT = 0.282 MΩ```The total current in the circuit is:```I = V/RTI = 18 V / 0.282 MΩI = 74.3 μA```

Question 17

The total resistance of three parallel resistors equals the sum of the individual resistor values.

Accepted Answer

The total resistance of three parallel resistors is less than the sum of the individual resistor values due to the fact that current can flow through multiple paths. The formula for calculating the total resistance of three parallel resistors is R = 1/((1/R1)+(1/R2)+(1/R3)).

Question 18

If one branch of a parallel circuit opens, the total resistance decreases.

Accepted Answer

If one branch of a parallel circuit opens, the total resistance increases because there is now one less path for the current to flow through, so the resistance that remains in the circuit is higher.

Question 19

P_R1=0.25 W and P_R2=1.2 W in a parallel circuit. The total power dissipated is 1.25 W .

Accepted Answer

The total power dissipated in a parallel circuit is the sum of the powers dissipated in each individual branch. Total Power = P_R1 + P_R2 = 0.25 W + 1.2 W = 1.45 W. Therefore, the given statement is false.

Question 20

A parallel circuit can be easily identified because only one end of each component is connected to each other.

Accepted Answer

In a parallel circuit, both ends of each component are connected to a common node, while in a series circuit, the components are connected end-to-end.

Quiz 5: Parallel Circuits

The total power dissipated by a parallel circuit can be found by adding the individual powers.

If three equal resistors are connected in parallel across 12 V, each resistor drops 4 V.

The total resistance of four resistors in parallel is always less than the smallest resistance.

If one branch of a parallel circuit shorts, the total resistance decreases.

If I_R1=0.065 mA and I_R2=0.098 mA in a two branch parallel circuit,I_T=0.163mA

If a 2.2 $k \Omega$ resistor and a 3.3 $\mathrm { k } \Omega$ resistor are connected in parallel, RT equals________

Accurate troubleshooting of a parallel circuit cannot be performedW ith a voltmeter.

If twelve 1.5 $\mathrm { M } \Omega$ resistors are connected in parallel across 50 V, R_T equals______

IT equals 0.1 mA in a 3-branch parallel circuit. If I₁=0.022 mA and I₂=0.007 mA, I₃=?

Kirchhoffʹs Current Law states that the sum of the currents into a junction must equal the sum of the currents out of that junction.

If I_R1=75 mA and I_R2=12.7 mA in a two branch parallel circuit, I_T=85.7 mA .

If a 5.5 $\mathrm { k } \Omega$ , 22 $\mathrm { k } \Omega$ and 500 $\Omega$ resistor are connected in parallel, what is RT ?

In a three-resistor parallel circuit, R₁=0.22 $M \Omega$ and R₂=1 $M \Omega$ . If R T=0.1166 $M \Omega$ , then what is the value of R₃ ?

Measurement of total current is accomplishedW ith the ammeter in seriesW ith the source voltage

If a 1 $\mathrm { M } \Omega$ resistor, 0.47 $\mathrm { M } \Omega$ resistor and 0.5 $\mathrm { M } \Omega$ resistor are connected in parallel across an 18 V source, what is the total current if the 1 $\mathrm { M } \Omega$ resistor opens?

The total resistance of three parallel resistors equals the sum of the individual resistor values.

If one branch of a parallel circuit opens, the total resistance decreases.

P_R1=0.25 W and P_R2=1.2 W in a parallel circuit. The total power dissipated is 1.25 W .

A parallel circuit can be easily identified because only one end of each component is connected to each other.

Quiz 5: Parallel Circuits

If a 500, 1200 Ω\OmegaΩ and 10 kΩ\mathrm { k } \OmegakΩ resistor are connected in parallel across a 25 V source, how much current flows through the 1200 Ω\OmegaΩ resistor?

The total power dissipated by a parallel circuit can be found by adding the individual powers.

If three equal resistors are connected in parallel across 12 V, each resistor drops 4 V.

The total resistance of four resistors in parallel is always less than the smallest resistance.

If one branch of a parallel circuit shorts, the total resistance decreases.

If IR1=0.065 mA and IR2=0.098 mA in a two branch parallel circuit,IT=0.163mA

If a 2.2 kΩk \OmegakΩ resistor and a 3.3 kΩ\mathrm { k } \OmegakΩ resistor are connected in parallel, RT equals________

Accurate troubleshooting of a parallel circuit cannot be performedW ith a voltmeter.

If twelve 1.5 MΩ\mathrm { M } \OmegaMΩ resistors are connected in parallel across 50 V, RT equals______

IT equals 0.1 mA in a 3-branch parallel circuit. If I1=0.022 mA and I2=0.007 mA, I3=?

Kirchhoffʹs Current Law states that the sum of the currents into a junction must equal the sum of the currents out of that junction.

If IR1=75 mA and IR2=12.7 mA in a two branch parallel circuit, IT=85.7 mA .

If a 5.5 kΩ\mathrm { k } \OmegakΩ , 22 kΩ\mathrm { k } \OmegakΩ and 500 Ω\OmegaΩ resistor are connected in parallel, what is RT ?

In a three-resistor parallel circuit, R1=0.22 MΩM \OmegaMΩ and R2=1 MΩM \OmegaMΩ . If R T=0.1166 MΩM \OmegaMΩ , then what is the value of R3 ?

Measurement of total current is accomplishedW ith the ammeter in seriesW ith the source voltage

If a 1 MΩ\mathrm { M } \OmegaMΩ resistor, 0.47 MΩ\mathrm { M } \OmegaMΩ resistor and 0.5 MΩ\mathrm { M } \OmegaMΩ resistor are connected in parallel across an 18 V source, what is the total current if the 1 MΩ\mathrm { M } \OmegaMΩ resistor opens?

The total resistance of three parallel resistors equals the sum of the individual resistor values.

If one branch of a parallel circuit opens, the total resistance decreases.

PR1=0.25 W and PR2=1.2 W in a parallel circuit. The total power dissipated is 1.25 W .

A parallel circuit can be easily identified because only one end of each component is connected to each other.

If I_R1=0.065 mA and I_R2=0.098 mA in a two branch parallel circuit,I_T=0.163mA

If a 2.2 $k \Omega$ resistor and a 3.3 $\mathrm { k } \Omega$ resistor are connected in parallel, RT equals________

If twelve 1.5 $\mathrm { M } \Omega$ resistors are connected in parallel across 50 V, R_T equals______

IT equals 0.1 mA in a 3-branch parallel circuit. If I₁=0.022 mA and I₂=0.007 mA, I₃=?

If I_R1=75 mA and I_R2=12.7 mA in a two branch parallel circuit, I_T=85.7 mA .

If a 5.5 $\mathrm { k } \Omega$ , 22 $\mathrm { k } \Omega$ and 500 $\Omega$ resistor are connected in parallel, what is RT ?

In a three-resistor parallel circuit, R₁=0.22 $M \Omega$ and R₂=1 $M \Omega$ . If R T=0.1166 $M \Omega$ , then what is the value of R₃ ?

If a 1 $\mathrm { M } \Omega$ resistor, 0.47 $\mathrm { M } \Omega$ resistor and 0.5 $\mathrm { M } \Omega$ resistor are connected in parallel across an 18 V source, what is the total current if the 1 $\mathrm { M } \Omega$ resistor opens?

P_R1=0.25 W and P_R2=1.2 W in a parallel circuit. The total power dissipated is 1.25 W .