Question

In an electrical circuit ,the voltage across a resistor is directly proportional to the current running through the resitor.If a current of twelve amps produces 480 volts across a resistor,how many volts would a current of 1.5 amps produce across an identical resitor?

Answer 1

Answer: The voltage across an identical resistor = 60 Volts

Step-by-step explanation:

Step 1

Given  that voltage across the resistor is directly proportional to the current running through the resitor.

 Mathematically, it would be represented as

Voltage  ∝  Current

Introducing the constant of proportionality,  k which represents the Resistor as it is constant.

we have that

Voltage  = K  x  Current

When current = 12 amps and voltage = 480v, the constant of proportionality  K

480 = k x 12

k = 480/12

k= 40

Step 2 ,

when current = 1.5 amps

 Voltage = ?

Using our equation that

Voltage  = K  x  Current

Voltage = 40 x 1.5

Voltage = 60 Volts