Physics: What is the equivalent resistance of the circuit?

What is the equivalent resistance of the circuit?

lcyaire

10.02.2022

5.5Ω

Explanation:

The circuit diagram shown is a parallel arrangement. To solve this problem for the equivalent resistance,

R1 = 10Ω

R2 = 20Ω

R3 = 30Ω

For circuits in parallel, equivalent resistance is ;

$\frac{1}{Rt}$ = $\frac{1}{R1} + \frac{1}{R2} + \frac{1}{R3}$

Now insert the parameters and solve;

$\frac{1}{Rt}$ = $\frac{1}{10} + \frac{1}{20} + \frac{1}{30}$

$\frac{1}{Rt}$ = $\frac{6 + 3 + 2}{60}$

$\frac{1}{Rt}$ = $\frac{11}{60}$

Rt = 5.5Ω

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