Estimate the capacitance of the Earth given that it has a radius of 6 . 4 × 10 6 m . State any assumptions you make.

The radius of the earth is r = 6 . 4 × 10 6 m The capacitance of the earth is given as, Capacitance of the Earth (assuming Earth is a perfect sphere) = 4 π ε 0 r = 4 × π × 8 . 85 × 10 - 12 × 6 . 4 × 10 6 = 0 . 000 71 F ≈ 700 µ F Hence, it is the required answer.

Estimate the capacitance of the Earth given that it has a radius of 6 . 4 × 10 6 m . State any assumptions you make.

The radius of the earth is r = 6 . 4 × 10 6 m The capacitance of the earth is given as, Capacitance of the Earth (assuming Earth is a perfect sphere) = 4 π ε 0 r = 4 × π × 8 . 85 × 10 - 12 × 6 . 4 × 10 6 = 0 . 000 71 F ≈ 700 µ F Hence, it is the required answer.

In the circuit in Figure, the resistance has a resistance of 2000 Ω , the capacitor has a capacitance of 1000 μ F and the battery has an e.m.f. of 12 V A circuit to charge and discharge a capacitor. Calculate The potential difference across the capacitor when it is fully charged by the battery.

We know that the capacitor is a device which store energy, when it is connected to any source of energy or cell then the potential to the capacitor is same like the potential of the cell. So, The voltage of the capacitance is V : - 12 V .

In the circuit in Figure, the resistance has a resistance of 2000 Ω , the capacitor has a capacitance of 1000 μ F and the battery has an e.m.f. of 12 V A circuit to charge and discharge a capacitor Calculate. The charge stored by the capacitor when it is fully charged.

The charge stored in capacitor is given as, q = C V q = 1000 μ F × 12 V q = 12000 × 10 - 6 C q = 12 m C .

In the circuit in Figure, the resistance has a resistance of 2000 Ω , the capacitor has a capacitance of 1000 μ F and the battery has an e.m.f. of 12 V A circuit to charge and discharge a capacitor Calculate The current in the resistor when the switch is first connected to terminal Q.

The voltage given by the capacitor is, V = 12 v The voltage of resistance is given as, V = I R 12 = I × 2000 I = 12 2000 = 6 m A Hence, it is the required answer.

In the circuit in Figure, the resistance has a resistance of 2000 Ω , the capacitor has a capacitance of 1000 μ F and the battery has an e.m.f. of 12 V A circuit to charge and discharge a capacitor. Explain what happens to the amount of charge stored on the plates in the moments after the switch is first connected to terminal Q.

The charge at any time T when the capacitor is discharging is given as, q = q o e - T R C q = C V o e - T 2000 × 1000 × 10 - 6 q = 1000 × 10 - 6 e - T 2 q = 10 - 3 e - T 2

In the circuit in Figure, the resistance has a resistance of 2000 Ω , the capacitor has a capacitance of 1000 μ F and the battery has an e.m.f. of 12 V A circuit to charge and discharge a capacitor The potential difference across the capacitor when it connected to Q side.

The charge at any time T when the capacitor is discharging is given as, q = q o e - T R C q α V V = V o e - T 2000 × 1000 × 10 - 6 V = 12 e - T 2 V = 12 e - T 2

In the circuit in Figure, the resistance has a resistance of 2000 Ω , the capacitor has a capacitance of 1000 μ F and the battery has an e.m.f. of 12 V A circuit to charge and discharge a capacitor The current in the resistor when it connected to Q side.

The charge at any time T when the capacitor is discharging is given as, q = q o e - T R C q = C V o e - T 2000 × 1000 × 10 - 6 q = 1000 × 10 - 6 e - T 2 q = 10 - 3 e - T 2 V = q C = 10 - 3 e - T 2 C I R = 10 - 3 e - T 2 C I = 10 - 3 e - T 2 R C I = 10 - 3 e - T 2 2 I = 1 2 10 - 3 e - T 2

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Estimate the capacitance of the Earth given that it has a radius of $6.4 \times 10^{6} m$ . State any assumptions you make.

Important Questions on Capacitance

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 22

In the circuit in Figure, the resistance has a resistance of $2000 Ω$ , the capacitor has a capacitance of $1000 μ F$ and the battery has an e.m.f. of $12 V$

Question Image

A circuit to charge and discharge a capacitor. Calculate The potential difference across the capacitor when it is fully charged by the battery.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 22

In the circuit in Figure, the resistance has a resistance of $2000 Ω$ , the capacitor has a capacitance of $1000 μ F$ and the battery has an e.m.f. of $12 V$

Question Image

A circuit to charge and discharge a capacitor Calculate. The charge stored by the capacitor when it is fully charged.

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 22

In the circuit in Figure, the resistance has a resistance of $2000 Ω$ , the capacitor has a capacitance of $1000 μ F$ and the battery has an e.m.f. of $12 V$

Question Image

A circuit to charge and discharge a capacitor Calculate The current in the resistor when the switch is first connected to terminal Q.

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 22

In the circuit in Figure, the resistance has a resistance of $2000 Ω$ , the capacitor has a capacitance of $1000 μ F$ and the battery has an e.m.f. of $12 V$

Question Image

A circuit to charge and discharge a capacitor. Explain what happens to the amount of charge stored on the plates in the moments after the switch is first connected to terminal Q.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 22

In the circuit in Figure, the resistance has a resistance of $2000 Ω$ , the capacitor has a capacitance of $1000 μ F$ and the battery has an e.m.f. of $12 V$

Question Image

A circuit to charge and discharge a capacitor The potential difference across the capacitor when it connected to Q side.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 22

In the circuit in Figure, the resistance has a resistance of $2000 Ω$ , the capacitor has a capacitance of $1000 μ F$ and the battery has an e.m.f. of $12 V$

Question Image

A circuit to charge and discharge a capacitor The current in the resistor when it connected to Q side.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 23

Show that the unit of the time constant (RC) is the second.

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AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 23 - Capacitance>Question>Q 24

A $400 μ F$ capacitor is charged using a $20 V$ battery. It is connected across the ends of a $600 Ω$ resistor with $20 V$ potential difference across its plates.Calculate the charge stored on the capacitor.

Estimate the capacitance of the Earth given that it has a radius of 6.4×106m. State any assumptions you make.

Important Questions on Capacitance

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Estimate the capacitance of the Earth given that it has a radius of $6.4 \times 10^{6} m$ . State any assumptions you make.