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Electromagnetism - SS2 Physics Past Questions and Answers - page 2

11

Two point charges, q1 = +2 μC and q2 = -4 μC, are placed 10 cm apart. What is the electric field at a point located 5 cm from q1 and 5 cm from q2? (Assume vacuum permittivity is ε0 = 8.85 x 10-12 C2/N m2)

Electric field due to q1: E1 = (k x |q1|) / r

= (9 x 109 N m2/C2 x 2 x 10-6 C) / (0.05 m)

= 1.8 x 10^6 N/C

Electric field due to q2: E2 = (k x |q2|) / r2

 = (9 x 109 N m2/C2 x 4 x 10-6 C) / (0.05 m)2

 = 3.6 x 106 N/C

Total electric field at the point: Etotal = E1 + E2 = 1.8 x 106 N/C + 3.6 x 106 N/C = 5.4 x 10

The direction of the electric field will be away from q1 and towards q2.

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12

A parallel plate capacitor with a plate area of 100 cm2 and plate separation of 2 mm is connected to a 12 V battery. What is the electric field between the plates? (Assume vacuum permittivity is ε0 = 8.85 x 10-12 C2/N m2)

The electric field between the plates of a capacitor is given by: E = V / d

E = (12 V) / (0.002 m) = 6 x 103 N/C

However, this electric field is uniformly distributed between the plates, so the electric field magnitude is the same everywhere between the plates.

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13

A point charge of +5 μC is located at the origin. What is the electric potential at a point 2 metres away from the charge? (Assume vacuum permittivity is ε0 = 8.85 x 10-12 C2/N m2)

The electric potential due to a point charge is given by: V = (k x |q|) / r

V = (9 x 109 N m2/C2 x 5 x 10-6 C) / 2 m = 9 x 106 V

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14

The capacitance of a parallel plate capacitor depends on:

A

The area of the plates.

 

B

The distance between the plates.

 

C

The dielectric material between the plates.

 

D

All of the above.

correct option: d
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15

A capacitor stores energy in the form of:

A

Electric potential.

 

B

Electric current.

 

C

Electric field.

 

 

D

Electric resistance.

correct option: c
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16

The capacitance of a capacitor is directly proportional to:

A

The area of the plates.

 

 

B

The distance between the plates.

 

C

The voltage across the capacitor.

 

D

The charge is stored on the plates.

correct option: a
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17

The time constant of an RC circuit depends on:

A

The resistance (R) of the circuit.

 

 

B

The capacitance (C) of the capacitor.

 

C

The product of resistance (R) and capacitance (C).

 

D

The voltage across the capacitor.

correct option: c
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18

When a dielectric material is inserted between the plates of a capacitor, the capacitance:

 

A

Decreases.

 

B

Increases.

 

 

C

Remains the same.

 

D

Depends on the dielectric constant.

correct option: b
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19

The energy stored in a capacitor is given by the formula:

A

E = 1/2CV2.

 

B

E = 1/2CV.

 

C

E = 1/2Q2.

 

D

E = 1/2Q.

correct option: a
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20

When two capacitors are connected in series, the total capacitance is:

A

The sum of the individual capacitances.

 

 

B

The reciprocal of the sum of the reciprocals of the individual capacitances.

 

C

The average of the individual capacitances.

 

D

The product of the individual capacitances.

correct option: b
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