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Using Thevenin’s theorem, Determine the current through the 5-ohm
resistor, the voltage across a 5 Ω resistor, and the power taken by
the 5 Ω resistor?
resistor, the voltage across a 5 Ω resistor, and the power taken by
the 5 Ω resistor?
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Using Thevenin’s theorem, Determine the current through the 5-ohm resi...
Applying Thevenin’s Theorem
Thevenin’s theorem simplifies a complex circuit into a simple equivalent circuit. This involves finding the Thevenin equivalent voltage (Vth) and Thevenin equivalent resistance (Rth) across the terminals where the resistor is connected.
Step 1: Find Thevenin Voltage (Vth)
- Remove the 5-ohm resistor from the circuit.
- Calculate the open-circuit voltage at the terminals where the 5-ohm resistor was connected. This is your Vth.
Step 2: Find Thevenin Resistance (Rth)
- Turn off all independent sources (replace voltage sources with short circuits and current sources with open circuits).
- Calculate the equivalent resistance seen from the terminals. This is your Rth.
Step 3: Calculate Current (I) through the 5-ohm Resistor
- Reconnect the 5-ohm resistor to the Thevenin equivalent circuit (Vth in series with Rth).
- Use Ohm’s law (I = V / R) to find the current through the 5-ohm resistor. Here, the total voltage is Vth and total resistance is Rth + 5Ω.
Step 4: Voltage across the 5-ohm Resistor (V5)
- Use Ohm’s law again: V5 = I * 5Ω, where I is the current calculated earlier.
Step 5: Power across the 5-ohm Resistor (P)
- Calculate the power using the formula: P = I^2 * 5Ω or P = V5^2 / 5Ω.
This approach allows you to analyze the circuit effectively and determine the required parameters for the 5-ohm resistor.
Thevenin’s theorem simplifies a complex circuit into a simple equivalent circuit. This involves finding the Thevenin equivalent voltage (Vth) and Thevenin equivalent resistance (Rth) across the terminals where the resistor is connected.
Step 1: Find Thevenin Voltage (Vth)
- Remove the 5-ohm resistor from the circuit.
- Calculate the open-circuit voltage at the terminals where the 5-ohm resistor was connected. This is your Vth.
Step 2: Find Thevenin Resistance (Rth)
- Turn off all independent sources (replace voltage sources with short circuits and current sources with open circuits).
- Calculate the equivalent resistance seen from the terminals. This is your Rth.
Step 3: Calculate Current (I) through the 5-ohm Resistor
- Reconnect the 5-ohm resistor to the Thevenin equivalent circuit (Vth in series with Rth).
- Use Ohm’s law (I = V / R) to find the current through the 5-ohm resistor. Here, the total voltage is Vth and total resistance is Rth + 5Ω.
Step 4: Voltage across the 5-ohm Resistor (V5)
- Use Ohm’s law again: V5 = I * 5Ω, where I is the current calculated earlier.
Step 5: Power across the 5-ohm Resistor (P)
- Calculate the power using the formula: P = I^2 * 5Ω or P = V5^2 / 5Ω.
This approach allows you to analyze the circuit effectively and determine the required parameters for the 5-ohm resistor.
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Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor?
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Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor?.
Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Using Thevenin’s theorem, Determine the current through the 5-ohm resistor, the voltage across a 5 Ω resistor, and the power taken by the 5 Ω resistor?.
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