Question

What is the equivalent resistance of the circuit?

Answer 1

5.5Ω

Step-by-step 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 ;

`(1)/(Rt)` =
`(1)/(R1) + (1)/(R2) + (1)/(R3)`

Now insert the parameters and solve;

`(1)/(Rt)` =
`(1)/(10) + (1)/(20) + (1)/(30)`

`(1)/(Rt)` =
`(6 + 3 + 2)/(60)`

`(1)/(Rt)` =
`(11)/(60)`

Rt = 5.5Ω