Question

What is the current running through a parallel circuit containing a 10 V battery and three resistors, each 3 ohms

Answer 1

Answer:

the current through the circuit is 10 A.

Explanation:

Given;

voltage of the battery, V = 10 V

number of the parallel resistors, = 3

resistance of each resistor, r = 3 ohms

The equivalent resistance is calculated as;

$\frac{1}{R_t} = \frac{1}{r_1}+ \frac{1}{r_2} + \frac{1}{r_3} \\\\\frac{1}{R_t} = \frac{1}{3}+ \frac{1}{3} + \frac{1}{3}\\\\\frac{1}{R_t} =\frac{3}{3} \\\\\frac{1}{R_t} = 1\\\\R_t = 1 \ ohms$

The current through the circuit is calculated as;

V = IRt

I = V/Rt

I = 10/1

I = 10 A

Therefore, the current through the circuit is 10 A.