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A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec?
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A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2...
Given:
- Capacitance (C) = 100 µF = 100 × 10^(-6) F
- Voltage (V) = 10 V
- Resistance (R) = 10 kΩ = 10 × 10^3 Ω
To find:
The time it takes for the capacitor to be fully charged.
Formula:
The time constant (τ) of an RC circuit is given by the product of the resistance and capacitance:
τ = RC
The time it takes for the capacitor to charge to approximately 63.2% of its maximum voltage (V) is given by:
t = 5τ
Solution:
Step 1: Calculate the time constant (τ) of the RC circuit.
τ = RC
= (10 × 10^3 Ω) × (100 × 10^(-6) F)
= 1 second
Step 2: Calculate the time it takes for the capacitor to charge to approximately 63.2% of its maximum voltage.
t = 5τ
= 5 × 1 second
= 5 seconds
Answer:
Therefore, the capacitor would be fully charged in 5 seconds (option a).
- Capacitance (C) = 100 µF = 100 × 10^(-6) F
- Voltage (V) = 10 V
- Resistance (R) = 10 kΩ = 10 × 10^3 Ω
To find:
The time it takes for the capacitor to be fully charged.
Formula:
The time constant (τ) of an RC circuit is given by the product of the resistance and capacitance:
τ = RC
The time it takes for the capacitor to charge to approximately 63.2% of its maximum voltage (V) is given by:
t = 5τ
Solution:
Step 1: Calculate the time constant (τ) of the RC circuit.
τ = RC
= (10 × 10^3 Ω) × (100 × 10^(-6) F)
= 1 second
Step 2: Calculate the time it takes for the capacitor to charge to approximately 63.2% of its maximum voltage.
t = 5τ
= 5 × 1 second
= 5 seconds
Answer:
Therefore, the capacitor would be fully charged in 5 seconds (option a).
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A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec?
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A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec? 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 A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec?.
A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec? 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 A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A capacitor of 100 µF is charged to 10 V through a resistance of 10 k2. It would be fully charged in (a) 5 sec (b) 0.1 sec (c) 1.0 sec (d) 0.5 sec?.
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