Questions: What value of resistor will be needed to produce a current of 100 mA when a voltage of 12 V is applied across the resistor?
a) 120 Ohms
b) 8.3 K Ohms
c) 1.2 K Ohms
d) 830 Ohms
Transcript text: What value of resistor will be needed to produce a current of 100 mA when a voltage of 12 V is applied across the resistor?
a) 120 Ohms
b) 8.3 K Ohms
c) 1.2 K Ohms
d) 830 Ohms
Solution
Solution Steps
Step 1: Identify the Given Values
We are given:
Voltage, \( V = 12 \) V
Current, \( I = 100 \) mA = 0.1 A
Step 2: Use Ohm's Law to Find the Resistance
Ohm's Law states that \( V = IR \), where \( R \) is the resistance. Rearranging the formula to solve for \( R \):
\[
R = \frac{V}{I}
\]
Step 3: Substitute the Given Values into the Formula
Substitute \( V = 12 \) V and \( I = 0.1 \) A into the equation: