Question

A 5.0-ohm resistor, a 10.0-ohm resistor, and a 15.0-ohm resistor are connected in parallel with a battery. The current through the 5.0-ohm resistor is 2.4 amperes. Calculate the amount of electrical energy expended in the 5.0-ohm resistor in 2.0 minutes.

Answer 1

E = 3456 J

Step-by-step explanation:

The electrical energy expended in a resistor can be easily calculated by using the following formula:

`E = Pt`

where,

E = Energy Expended = ?

I = current through 5 ohm resistor = 2.4 A

R = Resistance = 5 ohms

P = Electrical Power = VI

Since,

V = IR (Ohm's Law)

Therefore,

P = (IR)(I) = I²R = (2.4 A)²(5 ohms) = 28.8 Watt

t = time taken = (2 min)(60 s/1 min) = 120 s

Therefore,

E = (28.8 Watt)(120 s)

E = 3456 J