As shown in the figure the resistance are connected with a 12 V battery. Determine (a) Equivalent circuit resistance (b) Current flowing through the circuit.

1. Equivalent Resistance

Formula used

Parallel Resistance formula

Series resistance formula

R_a = 8Ω

R_b = 10Ω

Since R_a & R_b are in series, so total resistance is

R_Total = R_a + R_b

R_Total = 18Ω

2. Total current

Formula used

Ohm’s Law

V = voltage

I = current

R = resistance

I = 0.66 A