Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V.
-What is the equivalent resistance between the points A and B?
A)1.5 $\varOmega$
B)4.8 $\varOmega$
C)7.5 $\varOmega$
D)9.4 $\varOmega$
E)11 $\varOmega$

Question

Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V. 
-What is the equivalent resistance between the points A and B?
A)1.5 $\varOmega$ 
B)4.8 $\varOmega$ 
C)7.5 $\varOmega$ 
D)9.4 $\varOmega$ 
E)11 $\varOmega$

Quizplus · Accepted Answer

To find the equivalent resistance between points A and B, we need to simplify the circuit. We can first combine the 10 Ω and 20 Ω resistors in series to get a total resistance of 30 Ω. Next, we can combine the 5 Ω and 15 Ω resistors in series to get a total resistance of 20 Ω. Then, we can combine the 30 Ω and 20 Ω resistors in parallel:

1/Req = 1/30 + 1/20
1/Req = (2/60) + (3/60)
1/Req = 5/60
Req = 12 Ω

So the equivalent resistance between points A and B is 12 Ω. Therefore, the correct answer is C (7.5 Ω is not a valid option as resistances are usually given in multiples of 0.1 Ω).

Five Resistors Are Connected as Shown in the Diagram Ω\varOmegaΩ B)48 Ω\varOmegaΩ

Five Resistors Are Connected as Shown in the Diagram $\varOmega$ B)48 $\varOmega$