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# Find the current through resistors wired in parallel

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A 20 volt battery is connected to two resistors that are wired in parallel. The resistor values are 120 Ohms and 60 Ohms.

a. What is the current delivered by the battery?
b. What is the current through the 120 Ohms resistor?
c. What is the current through the 60 Ohms resistor?

https://brainmass.com/physics/ohms-law/current-through-resistors-wired-parallel-339323

## SOLUTION This solution is FREE courtesy of BrainMass!

a. Equivalent resistance Rp of two resistors R1 and R2 connected in parallel is given by 1/Rp = 1/R1 + 1/R2.

1/Rp = 1/120 + 1/60
1/Rp = 1/40
Rp = 40 ohms

So, current delivered by the battery = I = V/Rp = 20 V / 40 ohm = 0.5 A

In the parallel circuit, the voltage across the two resistors is same, so the voltage across each resistors is 20 V. By applying ohm's law,

b. I1 = V/R1 = 20V / 120 ohm = 0.1667 A

c. I2 = V/R2 = 20V / 60 ohm = 0.3333 A

We also can verify that the total current I = I1 + I2 = 0.5 A.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!