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

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
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Solution

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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:

\[ R = \frac{12 \, \text{V}}{0.1 \, \text{A}} = 120 \, \Omega \]

Final Answer

\(\boxed{120 \, \Omega}\)

The answer is a) 120 Ohms.

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