Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V.
-How much current flows through the 2-$\varOmega$ resistor?
A)2.0 A
B)4.0 A
C)6.0 A
D)8.7 A
E)10.0 A

Question

Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V. 
-How much current flows through the 2-$\varOmega$ resistor?
A)2.0 A 
B)4.0 A 
C)6.0 A 
D)8.7 A 
E)10.0 A

Quizplus · Accepted Answer

First, we need to simplify the circuit by finding the equivalent resistance. To do this, we can use the formula:

1/Req = 1/R1 + 1/R2 + 1/R3

where Req is the equivalent resistance, R1 is the 4 ohm resistor, R2 is the 2 ohm resistor, and R3 is the 6 ohm resistor.

1/Req = 1/4 + 1/2 + 1/6
1/Req = 1.5
Req = 2/3 ohms

Now we can use Ohm's Law to determine the current through the 2 ohm resistor:

I = V/R
I = 26/((2/3)+2)
I ≈ 4.0 A

Therefore, the correct answer is B) 4.0 A.

Three Resistors Are Connected as Shown in the Figure Ω\varOmegaΩ Resistor? A)2

Three Resistors Are Connected as Shown in the Figure $\varOmega$ Resistor?
A)2