. A potential difference of 12 V across a resistor produces a current of 16 mA. (a) What is the value of the resistor? (b) Assuming the resistor is ohmic, find the current when the potential difference is 24 V

To determine the value of the resistor, we will use Ohm's law, which states that the current through a resistor is directly proportional to the voltage across it. Ohm's law is written as,

V = IR

Where...

"V" is the voltage

"I" is the current
"R" is the resistance

Given that the potential difference is 12 V and the current is 16 mA (which is equal to 0.016 A), we can rearrange the equation to solve for R.

R = V / I

Plugging in our known values we get,

R = 12 V / 0.016 A

R = 750 Ω

Thus, the value of the resistor is 750 ohms.

For part (b):

Assuming the resistor is ohmic, we will use Ohm's law again to find the current when the potential difference is 24 V.

Rearranging the equation to solve for I we have,

I = V / R

Plugging in our values,

I = 24 V / 750 Ω

I ≈ 0.032 A

Therefore, when the potential difference is 24 V, the current through the resistor is approximately 0.032 A.