Question

What is the equivalent resistance of the

circuit?
(A) 0.07142
(B) 0.875 22
(C) 1.14 12
(D) 4.67 22
(E) 14.0 22

Answer 1

Answer: The correct option is (B) 0.875 Ω.

Step-by-step explanation:

Equivalent resistance: It is defined as the sum of the all resistance present in the circuit.

There are two conditions:

(1) Resistors in series

Equivalent resistance,
`R_s=R_1+R_2+R_3+R_4........R_n`

(2) Resistors in parallel

Equivalent resistance,
`R_p=(1)/(R_1)+(1)/(R_2)+(1)/(R_3)+(1)/(R_4)........(1)/(R_n)`

According to the given circuit, the resistors are in parallel arrangement.

Given:

`R_A=2.00\Omega\\\\R_B=4.00\Omega\\\\R_C=8.00\Omega`

Thus,

Equivalent resistance will be:

`R_p=(1)/(R_A)+(1)/(R_B)+(1)/(R_C)\\\\R_p=(1)/(2.00)+(1)/(4.00)+(1)/(8.00)\\\\R_p=0.875\Omega`

Therefore, the equivalent resistance of the circuit is 0.875 Ω.