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A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.?
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A 10V step signal is switched onto a circuit consisting of 50kΩ series...
Circuit Description
The given circuit consists of a 50kΩ series resistor and a 500 pF shunt capacitor connected in parallel. The circuit can be represented as a simple RC circuit.
Circuit Diagram
The circuit diagram can be drawn as follows:
```
____50kΩ____
| |
10V | |
-------| |
| |
| --- 500 pF
| |
|_____________|
```
Rise Time of Capacitor Voltage
The rise time of the capacitor voltage is determined by the time it takes for the capacitor to charge to a certain percentage of its maximum voltage. In an RC circuit, the rise time is typically defined as the time it takes for the capacitor voltage to rise from 10% to 90% of its maximum voltage.
The rise time (tr) can be calculated using the formula:
tr = 2.2 * R * C
where R is the resistance (50kΩ) and C is the capacitance (500 pF).
tr = 2.2 * 50kΩ * 500 pF
= 2.2 * 50 * 10^3 * 500 * 10^-12
= 5.5 * 10^-3 seconds
= 5.5 microseconds
Therefore, the rise time of the capacitor voltage is 5.5 microseconds.
Time for Capacitor to Charge to 63.2% of its Maximum Voltage
The time constant (τ) of an RC circuit is defined as the time it takes for the capacitor voltage to reach approximately 63.2% of its maximum voltage. The time constant (τ) is calculated using the formula:
τ = R * C
where R is the resistance (50kΩ) and C is the capacitance (500 pF).
τ = 50kΩ * 500 pF
= 50 * 10^3 * 500 * 10^-12
= 25 * 10^-3 seconds
= 25 milliseconds
Therefore, the time for the capacitor to charge to 63.2% of its maximum voltage is 25 milliseconds.
Time for Capacitor to be Completely Charged
In an RC circuit, the capacitor is considered to be completely charged when its voltage reaches approximately 99.3% of its maximum voltage. The time it takes for the capacitor to be completely charged is approximately 5 times the time constant (5τ).
Time for capacitor to be completely charged = 5 * τ
= 5 * 25 milliseconds
= 125 milliseconds
Therefore, the time for the capacitor to be completely charged is 125 milliseconds.
The given circuit consists of a 50kΩ series resistor and a 500 pF shunt capacitor connected in parallel. The circuit can be represented as a simple RC circuit.
Circuit Diagram
The circuit diagram can be drawn as follows:
```
____50kΩ____
| |
10V | |
-------| |
| |
| --- 500 pF
| |
|_____________|
```
Rise Time of Capacitor Voltage
The rise time of the capacitor voltage is determined by the time it takes for the capacitor to charge to a certain percentage of its maximum voltage. In an RC circuit, the rise time is typically defined as the time it takes for the capacitor voltage to rise from 10% to 90% of its maximum voltage.
The rise time (tr) can be calculated using the formula:
tr = 2.2 * R * C
where R is the resistance (50kΩ) and C is the capacitance (500 pF).
tr = 2.2 * 50kΩ * 500 pF
= 2.2 * 50 * 10^3 * 500 * 10^-12
= 5.5 * 10^-3 seconds
= 5.5 microseconds
Therefore, the rise time of the capacitor voltage is 5.5 microseconds.
Time for Capacitor to Charge to 63.2% of its Maximum Voltage
The time constant (τ) of an RC circuit is defined as the time it takes for the capacitor voltage to reach approximately 63.2% of its maximum voltage. The time constant (τ) is calculated using the formula:
τ = R * C
where R is the resistance (50kΩ) and C is the capacitance (500 pF).
τ = 50kΩ * 500 pF
= 50 * 10^3 * 500 * 10^-12
= 25 * 10^-3 seconds
= 25 milliseconds
Therefore, the time for the capacitor to charge to 63.2% of its maximum voltage is 25 milliseconds.
Time for Capacitor to be Completely Charged
In an RC circuit, the capacitor is considered to be completely charged when its voltage reaches approximately 99.3% of its maximum voltage. The time it takes for the capacitor to be completely charged is approximately 5 times the time constant (5τ).
Time for capacitor to be completely charged = 5 * τ
= 5 * 25 milliseconds
= 125 milliseconds
Therefore, the time for the capacitor to be completely charged is 125 milliseconds.
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A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.?
Question Description
A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.?.
A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.?.
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A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.?, a detailed solution for A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.? has been provided alongside types of A 10V step signal is switched onto a circuit consisting of 50kΩ series resistor and a 500 pF shunt capacitor. Identify the circuit. Draw the circuit diagram and explain. Calculate (a) the rise time of the capacitor voltage, (b) the time for the capacitor to charge to 63.2% of its maximum voltage, and (c) the time for the capacitor to be completely charged.? theory, EduRev gives you an
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