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What is the Thevenin equivalent circuit for a 10V battery in series with a 5Ω re

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Question: What is the Thevenin equivalent circuit for a 10V battery in series with a 5Ω resistor and a 10Ω load resistor?

Options:

  1. 10V, 5Ω
  2. 5V, 10Ω
  3. 10V, 10Ω
  4. 5V, 5Ω

Correct Answer: 10V, 5Ω

Solution:

Thevenin equivalent voltage is the same as the source voltage, and the equivalent resistance is the series resistance.

What is the Thevenin equivalent circuit for a 10V battery in series with a 5Ω re

Practice Questions

Q1
What is the Thevenin equivalent circuit for a 10V battery in series with a 5Ω resistor and a 10Ω load resistor?
  1. 10V, 5Ω
  2. 5V, 10Ω
  3. 10V, 10Ω
  4. 5V, 5Ω

Questions & Step-by-Step Solutions

What is the Thevenin equivalent circuit for a 10V battery in series with a 5Ω resistor and a 10Ω load resistor?
  • Step 1: Identify the components in the circuit. We have a 10V battery and a 5Ω resistor in series with a 10Ω load resistor.
  • Step 2: Determine the Thevenin equivalent voltage (Vth). Since the battery is the only voltage source, Vth is equal to the battery voltage, which is 10V.
  • Step 3: Calculate the Thevenin equivalent resistance (Rth). To find Rth, we look at the resistors in series. The 5Ω resistor is in series with the 10Ω load resistor, so we add them together: Rth = 5Ω + 10Ω = 15Ω.
  • Step 4: Write down the Thevenin equivalent circuit. The Thevenin equivalent circuit consists of a 10V voltage source (Vth) in series with a 15Ω resistor (Rth).
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