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Two resistors of 4Ω each are connected in parallels to a 5 V battery source. The total current in the circuit is:
Question

Two resistors of 4Ω each are connected in parallels to a 5 V battery source. The total current in the circuit is:

A.

5A

B.

20A

C.

10A

D.

2.5A

Correct option is D

Given:

Two resistors of 4Ω each in parallel

A 5V battery source.

Formula Used:

For resistors in parallel,

1Req=1R1+1R2\frac{1}{R_{\text{eq}}} = \frac{1}{R_1} + \frac{1}{R_2}​​

Ohm's law,

V=IRV = I \cdot R

​V is the voltage (5V)

I is the current (unknown)

R is the resistance

Solution:

1Req=14+14=24=12\frac{1}{R_{\text{eq}}} = \frac{1}{4} + \frac{1}{4} = \frac{2}{4} = \frac{1}{2}​​

Req=2 ΩR_{\text{eq}} = 2 \, \Omega​​

I=VR=5V2 Ω=2.5 AI = \frac{V}{R} = \frac{5V}{2 \, \Omega} = 2.5 \, \text{A}​​

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