Physics: 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

What is the equivalent resistance of the circuit?

travashouston4873

17.07.2021

The correct option is (B) 0.875 Ω.

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, $R_p=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}+\frac{1}{R_4}........\frac{1}{R_n}$

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:

$R_p=\frac{1}{R_A}+\frac{1}{R_B}+\frac{1}{R_C}\\\\R_p=\frac{1}{2.00}+\frac{1}{4.00}+\frac{1}{8.00}\\\\R_p=0.875\Omega$

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

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nathangirnet

05.01.2023

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Explanation:

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