Question

A 20.0 Ω, 12.0 Ω, and 7.00 Ω resistor are connected in parallel to an emf source. A current of 8.00 A is in the 12.0 Ω resistor. Calculate the equivalent resistance of the circuit. Answer in units of Ω.

Answer 1

3.62 ohms

Step-by-step explanation:

Equivalent resistance in parallel is given as

The equivalent resistance of 20.0Ω, 12Ω, and 7Ω all in parallel

`(1)/(R) = (1)/(R_1) + (1)/(R_2) + (1)/(R_3)`

now we have

`(1)/(R) = (1)/(20) + (1)/(12) + (1)/(7)`

`(1)/(R) = (84+140+240)/(1680)`

`(1)/(R) = (464)/(1680)`

`R = (1680)/(464)`

`R = 3.62ohms`