What is the total current in a circuit with a 10V battery and two 5 ohm resistor

Practice Questions

Q1
What is the total current in a circuit with a 10V battery and two 5 ohm resistors in parallel?
  1. 1 A
  2. 2 A
  3. 3 A
  4. 4 A

Questions & Step-by-Step Solutions

What is the total current in a circuit with a 10V battery and two 5 ohm resistors in parallel?
  • Step 1: Identify the voltage of the battery, which is 10V.
  • Step 2: Identify the resistance of each resistor, which is 5 ohms.
  • Step 3: Since the resistors are in parallel, use the formula for equivalent resistance: R_eq = 1 / (1/R1 + 1/R2).
  • Step 4: Substitute the values into the formula: R_eq = 1 / (1/5 + 1/5).
  • Step 5: Calculate the sum inside the parentheses: 1/5 + 1/5 = 2/5.
  • Step 6: Take the reciprocal of 2/5 to find R_eq: R_eq = 1 / (2/5) = 5/2 = 2.5 ohms.
  • Step 7: Now, use Ohm's law to find the total current: I = V / R_eq.
  • Step 8: Substitute the values: I = 10V / 2.5 ohms.
  • Step 9: Calculate the total current: I = 4 A.
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