Question

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

Answer 1

the current through the circuit is 10 A.

Step-by-step 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;

`(1)/(R_t) = (1)/(r_1)+ (1)/(r_2) + (1)/(r_3) \\\\(1)/(R_t) = (1)/(3)+ (1)/(3) + (1)/(3)\\\\(1)/(R_t) =(3)/(3) \\\\(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.