# Electric Circuits

A circuit consists of a load of a 50 ohm resistor in parallel with a 30 ohm resistor. The resistors are connected to a 10 volt battery.

a. What is the voltage across the 50 ohm resistor and the current through the 50 ohm resistor?

b. What is the voltage across the 30 ohm resistor and the current through the 30 ohm resistor?

c. What is resistance of the load?

The power dissipated in a resistive circuit is given by V x I or I2 x R.

a. In the above question, what is the power dissipated in the 50 ohm resistor?

b. In the above question, what is the power supplied by the 10 volt battery?

https://brainmass.com/physics/circuits/electric-circuits-voltage-resistance-421851

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Hi,

1.

a. The voltage of 50 ohms will be equal to the supply voltage since the connection is parallel:

V = 10V

The current is:

I = V/R

I = 10V/50ohms

I = 0.2A

b. The voltage of 30 ohms will be equal to the supply voltage since the connection is parallel:

V = 10V

The current is:

I = V/R

I = 10V/30ohms

I = 0.333A

c. The resistance of the load at parallel is:

R = 1 / (1/50 + 1/30)

R = 1 / ((30+50)/(1500))

R = 1500/80

R = 18.75 ohms

2.

a. The power dissipated in the 50 ohm resistor is:

P = VI

P = 10(0.2)

P = 2W

b. The power dissipated in the 30 ohm resistor is:

P = VI

P = 10(0.333)

P = 3.33W

https://brainmass.com/physics/circuits/electric-circuits-voltage-resistance-421851