MEDIUM
AS and A Level
IMPORTANT
Earn 100

A sinusoidal voltage of 6.0 V r.m.s. and frequency 50 Hz is connected to a diode and a resistor R of resistance 400 Ω as shown in the diagram.

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(b) An uncharged capacitor C is connected across R. When the 6.0V r.m.s. supply is switched on, the capacitor charges fully during the first quarter of a cycle. You may assume that the p.d. across the diode is zero when it conducts. For the next three-quarters of the first cycle, the diode stops conducting and the p.d. across R falls to one-half of the peak value. During this time the mean p.d. across R is 5.7V.

For the last three-quarters of the first cycle, calculate the time taken.

Important Questions on Alternating Currents

EASY
AS and A Level
IMPORTANT

A sinusoidal voltage of 6.0 V r.m.s. and frequency 50 Hz is connected to a diode and a resistor R of resistance 400 Ω as shown in the diagram.

Question Image

(b) An uncharged capacitor C is connected across R. When the 6.0V r.m.s. supply is switched on, the capacitor charges fully during the first quarter of a cycle. You may assume that the p.d. across the diode is zero when it conducts. For the next three-quarters of the first cycle, the diode stops conducting and the p.d. across R falls to one-half of the peak value. During this time the mean p.d. across R is 5.7V.

For the last three-quarters of the first cycle, calculate the mean current in R.

MEDIUM
AS and A Level
IMPORTANT

A sinusoidal voltage of 6.0 V r.m.s. and frequency 50 Hz is connected to a diode and a resistor R of resistance 400 Ω as shown in the diagram.

Question Image

An uncharged capacitor C is connected across R. When the 6.0V r.m.s. supply is switched on, the capacitor charges fully during the first quarter of a cycle. You may assume that the p.d. across the diode is zero when it conducts. For the next three-quarters of the first cycle, the diode stops conducting and the p.d. across R falls to one-half of the peak value. During this time the mean p.d. across R is 5.7V. For the last three-quarters of the first cycle, calculate the charge flowing through R.

HARD
AS and A Level
IMPORTANT

A sinusoidal voltage of 6.0 V r.m.s. and frequency 50 Hz is connected to a diode and a resistor R of resistance 400 Ω as shown in the diagram.

Question Image

An uncharged capacitor C is connected across R. When the 6.0V r.m.s. supply is switched on, the capacitor charges fully during the first quarter of a cycle. You may assume that the p.d. across the diode is zero when it conducts. For the next three-quarters of the first cycle, the diode stops conducting and the p.d. across R falls to one-half of the peak value. During this time the mean p.d. across R is 5.7V.

For the last three-quarters of the first cycle, calculate the capacitance of C.

EASY
AS and A Level
IMPORTANT

A sinusoidal voltage of 6.0 V r.m.s. and frequency 50 Hz is connected to a diode and a resistor R of resistance 400 Ω as shown in the diagram.

Question Image

An uncharged capacitor C is connected across R. When the 6.0V r.m.s. supply is switched on, the capacitor charges fully during the first quarter of a cycle. You may assume that the p.d. across the diode is zero when it conducts. For the next three-quarters of the first cycle, the diode stops conducting and the p.d. across R falls to one-half of the peak value. During this time the mean p.d. across R is 5.7V.

 Explain why the diode stops conducting during part of each cycle.

HARD
AS and A Level
IMPORTANT

The rectified output from a circuit is connected to a resistor R of resistance 1000 Ω. Graph A shows the variation with time of the p.d. V across the resistor. Graph B shows the variation of V when a capacitor is placed across R to smooth the output.

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Explain how the rectification is achieved. Draw a circuit diagram to show the components involved. Explain the action of the capacitor in smoothing the output.

MEDIUM
AS and A Level
IMPORTANT

The rectified output from a circuit is connected to a resistor R of resistance 1000 Ω. Graph A shows the variation with time t of the potential difference V across the resistor. Graph B shows the variation of V when a capacitor is placed across R to smooth the output.

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Explain how the rectification is achieved. Draw a circuit diagram to show the components involved. Using graph B between t=0.005 & t=0.015s determine the time during which the capacitor is charging.

MEDIUM
AS and A Level
IMPORTANT

The rectified output from a circuit is connected to a resistor R of resistance 1000 Ω. Graph A shows the variation with timet of the p.d. V across the resistor. Graph B shows the variation of  V when a capacitor is placed across R to smooth the output.

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Explain how the rectification is achieved. Draw a circuit diagram to show the components involved.

(c) Using graph B between t=0.005 & t=0.015s determine.

(ii) the mean value of the p.d. across R.

MEDIUM
AS and A Level
IMPORTANT

The rectified output from a circuit is connected to a resistor R of resistance 1000 Ω. Graph A shows the variation with time of the p.d. V across the resistor. Graph B shows the variation of V when a capacitor is placed across R to smooth the output.

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Explain how the rectification is achieved. Draw a circuit diagram to show the components involved. Using graph B between t=0.005 & t=0.015s determine the average power dissipated in R.