The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

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Answer 1

Question

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

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3.63 • Leaping the River II. A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle (Fig. P3.63). The takeoff ramp was inclined at 53.0°, the river was 40.0 m wide, and the far bank was 15.0 m lower than the top of the ramp. The river itself was 100 m below the ramp. Ignore air resistance. (a) What should his speed have been at the top of the ramp to have just made it to the edge of the far bank? (b) If his speed was only half the value found in part (a), where did he land? Figure P3.63 53.0° 100 m 40.0 m→ 15.0 m

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Answer 2

Question

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

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Answer 3

Question

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

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Answer 4

Question

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

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Answer 5

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

Answer 6

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

Answer 7

Chapter 21, Problem 1CQ

To determine

The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Answer 8

Expert Solution & Answer

Answer to Problem 1CQ

The current in the ac circuit and the potential difference across the capacitor in the same circuit varies as one among these quantities vary and they never comes in phase since their variation is in such a way that increase of one causes the decrease of the other. Hence, always there exist a phase difference between these parameters.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

As the alternating current flows through a circuit containing an uncharged capacitor, charge begins to accumulate on the capacitor plate. The potential across the capacitor increases as the charge accumulation increases. This voltage development will be in opposite in direction of the emf of the generator. The increase in voltage across the capacitor leads to the decrease in current in the circuit.

The change of direction of emf from the generator, causes the decrease in voltage across the capacitor and thereby increase in current through the circuit. Since this process is continued as long as the ac supply maintained, the current in the circuit and the potential difference across a capacitor in the same circuit never comes in phase.

Answer 12

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The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

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The reason for which the presence of a phase difference between the current in an ac circuit and the potential difference across a capacitor in the same circuit.

Answer to Problem 1CQ

Explanation of Solution

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