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In a circuit, if the voltage across a resistor is 12V and the current through it

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Question: In a circuit, if the voltage across a resistor is 12V and the current through it is 3A, what is the resistance?

Options:

  1. 4 ohms
  2. 3 ohms
  3. 2 ohms
  4. 1 ohm

Correct Answer: 4 ohms

Solution:

Using Ohm\'s law, R = V/I = 12V / 3A = 4 ohms.

In a circuit, if the voltage across a resistor is 12V and the current through it

Practice Questions

Q1
In a circuit, if the voltage across a resistor is 12V and the current through it is 3A, what is the resistance?
  1. 4 ohms
  2. 3 ohms
  3. 2 ohms
  4. 1 ohm

Questions & Step-by-Step Solutions

In a circuit, if the voltage across a resistor is 12V and the current through it is 3A, what is the resistance?
Correct Answer: 4 ohms
  • Step 1: Identify the voltage across the resistor, which is given as 12V.
  • Step 2: Identify the current flowing through the resistor, which is given as 3A.
  • Step 3: Recall Ohm's law, which states that Resistance (R) equals Voltage (V) divided by Current (I).
  • Step 4: Substitute the values into the formula: R = V / I.
  • Step 5: Calculate the resistance: R = 12V / 3A.
  • Step 6: Perform the division: 12 divided by 3 equals 4.
  • Step 7: Conclude that the resistance is 4 ohms.
  • Ohm's Law – Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points and inversely proportional to the resistance.
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