The R C time constant.

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Answer 1

Question

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.

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Answer 2

Question

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.

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Answer 3

Question

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.

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Answer 4

Question

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.

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Answer 5

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.

Answer 6

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.

Answer 7

Chapter 28, Problem 1ASA

To determine

The RC time constant.

Answer 8

Expert Solution & Answer

Answer to Problem 1ASA

The RC time constant is the product of the capacitance and the series resistance in a circuit.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Time constant is the product of the capacitance and the series resistance in a circuit. When a capacitor is connected to a battery, its charge build up and the rate of voltage across the capacitor also increases. Similarly, when a charged capacitor is discharged, the rate of voltage decay depends on the same parameters. Both the charging time and discharge time of a capacitor are characterized by time constant.

The expression for time constant is given by,

τ=RC

Here, τ is the time constant, R is the resistance, and C is the capacitance.

It is the time required to charge the capacitor, through the resistor, from an initial charge of zero to approximately 63.2% of the value of an applied DC voltage, or to discharge the capacitor through the same resistor to approximately 36.8% of its initial charge voltage.

Conclusion:

Therefore, RC time constant is the product of the capacitance and the series resistance in a circuit.