We read your photo as:

Two resistors R1 and R2 are connected in parallel. The equivalent resistance is given by:

March 20, 2026Physics

ScanSolve AI Answer

Answer

(a)

5 steps

Resistors $R_1$ and $R_2$ are connected in parallel, so the voltage $V$ across both is the same.
Current through $R_1$ : $I_1 = \frac{V}{R_1}$

Current through $R_2$ : $I_2 = \frac{V}{R_2}$
$I_1 = \frac{V}{R_1}$ $I_2 = \frac{V}{R_2}$
Total current $I = I_1 + I_2$
$I = \frac{V}{R_1} + \frac{V}{R_2} = V \left( \frac{1}{R_1} + \frac{1}{R_2} \right)$
For equivalent resistance $R_{eq}$ , $I = \frac{V}{R_{eq}}$
$\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2}$
Common denominator $R_1 R_2$
$\frac{1}{R_{eq}} = \frac{R_2}{R_1 R_2} + \frac{R_1}{R_1 R_2} = \frac{R_1 + R_2}{R_1 R_2}$
Take reciprocal
$R_{eq} = \frac{R_1 R_2}{R_1 + R_2}$
This matches option (a).

(a)

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question