Question

four resistors are connected in parallel the resistance values are 4 home 8ohms 12ohms 16ohms calculate the total circuit resistence​

Answer 1

1.92 ohms

Explanation:

Given the resistors are connected in parallel, 4ohms, 8ohms, 12ohms and 16ohms.

-Total resistance on circuit is calculated using the formula:

`(1)/(Rp)=(1)/(Rp_1)+(1)/(Rp_2)+(1)/(Rp_3)+(1)/(Rp_4)\\\\=(1)/(4)+(1)/(8)+(1)/(12)+(1)/(16)\\\\=(25)/(48)`

Total resistance is the reciprocal of the value obtained above:

`(1)/(Rp)=(25)/(48)\\\\Rp=1.92`

Hence, total resistance of the circuit is 1.92 ohms