Answer:
(a) - R = 750 Ω
(b) - I ≈ 0.032 A
Explanation:
For part (a):
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...
- "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.
