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If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the cur

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Question: If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?

Options:

  1. 3 A
  2. 2 A
  3. 1 A
  4. 4 A

Correct Answer: 3 A

Solution: 

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

If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the cur

Practice Questions

Q1
If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?
  1. 3 A
  2. 2 A
  3. 1 A
  4. 4 A

Questions & Step-by-Step Solutions

If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?
Correct Answer: 3 A
  • Step 1: Identify the values given in the problem. We have a 4 ohm resistor, a 6 ohm resistor, and a 12V battery.
  • Step 2: Understand that the resistors are connected in parallel. This means the voltage across each resistor is the same as the battery voltage, which is 12V.
  • Step 3: Use Ohm's law to find the current through the 4 ohm resistor. Ohm's law states that I = V / R, where I is the current, V is the voltage, and R is the resistance.
  • Step 4: Substitute the values into the formula for the 4 ohm resistor. Here, V = 12V and R = 4 ohms.
  • Step 5: Calculate the current: I = 12V / 4 ohms = 3 A.
  • Step 6: Conclude that the current through the 4 ohm resistor is 3 A.
  • Ohm's Law – Ohm's Law states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor.
  • Parallel Resistors – In a parallel circuit, the voltage across each resistor is the same, but the total current is the sum of the currents through each resistor.
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