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PHXI15:WAVES

358761 A parallel plate condenser consists of two circular plates each of radius $2 c m$ separated by a distance of $0.1 m m$ . A time varying potential difference of $5 \times 10^{3} V / s$ is applied across the plates of the condenser. The displacement current is

1

5.56 \times 10^{- 5} A

2

2.28 \times 10^{- 3} A

3

5.56 \times 10^{- 7} A

4

5.50 A

Explanation:

$I_{d} = \frac{ε_{0} A}{d} \times \frac{d V}{d t}$
$= \frac{8.85 \times 10^{- 12} \times π \times 4 \times 10^{- 4} \times 5 \times 10^{3}}{1 \times 10^{- 4}}$
$= 5.56 \times 10^{- 7} A$

PHXI15:WAVES

358762 Match the Column I and Column II.
Column I
Column II
A
$\oint \vec{E} . d \vec{A} = Q / ε_{0}$
P
Faraday's law
B
$\oint \vec{B} . d \vec{A} = 0$
Q
Ampere-Maxwell law
C
$\oint \vec{E} . \vec{d l} = - \frac{d ϕ_{E}}{d t}$
R
Gauss law for electricity
D
$\oint \vec{E} . \vec{d l} = u_{0} i_{c}$ $+ u_{0} ε_{0} \frac{d ϕ_{E}}{d t}$
S
Gauss law for magnetism

1

A - S, B - R, C - Q, D - P

2

A - R, B - Q, C - P, D - S

3

A - R, B - S, C - P, D - Q

4

A - P, B - Q, C - R, D - S

PHXI15:WAVES

358763 Statement A :
Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change.
Statement B :
The displacement current arises in the region in which the electric field is constant with time.

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both statements are correct.

4 Both Statements are incorrect.

PHXI15:WAVES

358764 Maxwell's equations describe the fundamental laws of

1 Electricity only

2 Magnetism only

3 Mechanics only

4 both 1 and 2

PHXI15:WAVES

358765 Displacement current is continuous

1 When electric field is changing in the circuit

2 When magnetic field is changing in the circuit

3 In both types of fields.

4 Through wire and resistance only

PHXI15:WAVES

358761 A parallel plate condenser consists of two circular plates each of radius $2 c m$ separated by a distance of $0.1 m m$ . A time varying potential difference of $5 \times 10^{3} V / s$ is applied across the plates of the condenser. The displacement current is

1

5.56 \times 10^{- 5} A

2

2.28 \times 10^{- 3} A

3

5.56 \times 10^{- 7} A

4

5.50 A

Explanation:

$I_{d} = \frac{ε_{0} A}{d} \times \frac{d V}{d t}$
$= \frac{8.85 \times 10^{- 12} \times π \times 4 \times 10^{- 4} \times 5 \times 10^{3}}{1 \times 10^{- 4}}$
$= 5.56 \times 10^{- 7} A$

PHXI15:WAVES

358762 Match the Column I and Column II.
Column I
Column II
A
$\oint \vec{E} . d \vec{A} = Q / ε_{0}$
P
Faraday's law
B
$\oint \vec{B} . d \vec{A} = 0$
Q
Ampere-Maxwell law
C
$\oint \vec{E} . \vec{d l} = - \frac{d ϕ_{E}}{d t}$
R
Gauss law for electricity
D
$\oint \vec{E} . \vec{d l} = u_{0} i_{c}$ $+ u_{0} ε_{0} \frac{d ϕ_{E}}{d t}$
S
Gauss law for magnetism

1

A - S, B - R, C - Q, D - P

2

A - R, B - Q, C - P, D - S

3

A - R, B - S, C - P, D - Q

4

A - P, B - Q, C - R, D - S

PHXI15:WAVES

358763 Statement A :
Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change.
Statement B :
The displacement current arises in the region in which the electric field is constant with time.

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both statements are correct.

4 Both Statements are incorrect.

PHXI15:WAVES

358764 Maxwell's equations describe the fundamental laws of

1 Electricity only

2 Magnetism only

3 Mechanics only

4 both 1 and 2

PHXI15:WAVES

358765 Displacement current is continuous

1 When electric field is changing in the circuit

2 When magnetic field is changing in the circuit

3 In both types of fields.

4 Through wire and resistance only

PHXI15:WAVES

358761 A parallel plate condenser consists of two circular plates each of radius $2 c m$ separated by a distance of $0.1 m m$ . A time varying potential difference of $5 \times 10^{3} V / s$ is applied across the plates of the condenser. The displacement current is

1

5.56 \times 10^{- 5} A

2

2.28 \times 10^{- 3} A

3

5.56 \times 10^{- 7} A

4

5.50 A

Explanation:

$I_{d} = \frac{ε_{0} A}{d} \times \frac{d V}{d t}$
$= \frac{8.85 \times 10^{- 12} \times π \times 4 \times 10^{- 4} \times 5 \times 10^{3}}{1 \times 10^{- 4}}$
$= 5.56 \times 10^{- 7} A$

PHXI15:WAVES

358762 Match the Column I and Column II.
Column I
Column II
A
$\oint \vec{E} . d \vec{A} = Q / ε_{0}$
P
Faraday's law
B
$\oint \vec{B} . d \vec{A} = 0$
Q
Ampere-Maxwell law
C
$\oint \vec{E} . \vec{d l} = - \frac{d ϕ_{E}}{d t}$
R
Gauss law for electricity
D
$\oint \vec{E} . \vec{d l} = u_{0} i_{c}$ $+ u_{0} ε_{0} \frac{d ϕ_{E}}{d t}$
S
Gauss law for magnetism

1

A - S, B - R, C - Q, D - P

2

A - R, B - Q, C - P, D - S

3

A - R, B - S, C - P, D - Q

4

A - P, B - Q, C - R, D - S

PHXI15:WAVES

358763 Statement A :
Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change.
Statement B :
The displacement current arises in the region in which the electric field is constant with time.

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both statements are correct.

4 Both Statements are incorrect.

PHXI15:WAVES

358764 Maxwell's equations describe the fundamental laws of

1 Electricity only

2 Magnetism only

3 Mechanics only

4 both 1 and 2

PHXI15:WAVES

358765 Displacement current is continuous

1 When electric field is changing in the circuit

2 When magnetic field is changing in the circuit

3 In both types of fields.

4 Through wire and resistance only

PHXI15:WAVES

358761 A parallel plate condenser consists of two circular plates each of radius $2 c m$ separated by a distance of $0.1 m m$ . A time varying potential difference of $5 \times 10^{3} V / s$ is applied across the plates of the condenser. The displacement current is

1

5.56 \times 10^{- 5} A

2

2.28 \times 10^{- 3} A

3

5.56 \times 10^{- 7} A

4

5.50 A

Explanation:

$I_{d} = \frac{ε_{0} A}{d} \times \frac{d V}{d t}$
$= \frac{8.85 \times 10^{- 12} \times π \times 4 \times 10^{- 4} \times 5 \times 10^{3}}{1 \times 10^{- 4}}$
$= 5.56 \times 10^{- 7} A$

PHXI15:WAVES

358762 Match the Column I and Column II.
Column I
Column II
A
$\oint \vec{E} . d \vec{A} = Q / ε_{0}$
P
Faraday's law
B
$\oint \vec{B} . d \vec{A} = 0$
Q
Ampere-Maxwell law
C
$\oint \vec{E} . \vec{d l} = - \frac{d ϕ_{E}}{d t}$
R
Gauss law for electricity
D
$\oint \vec{E} . \vec{d l} = u_{0} i_{c}$ $+ u_{0} ε_{0} \frac{d ϕ_{E}}{d t}$
S
Gauss law for magnetism

1

A - S, B - R, C - Q, D - P

2

A - R, B - Q, C - P, D - S

3

A - R, B - S, C - P, D - Q

4

A - P, B - Q, C - R, D - S

PHXI15:WAVES

358763 Statement A :
Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change.
Statement B :
The displacement current arises in the region in which the electric field is constant with time.

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both statements are correct.

4 Both Statements are incorrect.

PHXI15:WAVES

358764 Maxwell's equations describe the fundamental laws of

1 Electricity only

2 Magnetism only

3 Mechanics only

4 both 1 and 2

PHXI15:WAVES

358765 Displacement current is continuous

1 When electric field is changing in the circuit

2 When magnetic field is changing in the circuit

3 In both types of fields.

4 Through wire and resistance only

PHXI15:WAVES

358761 A parallel plate condenser consists of two circular plates each of radius $2 c m$ separated by a distance of $0.1 m m$ . A time varying potential difference of $5 \times 10^{3} V / s$ is applied across the plates of the condenser. The displacement current is

1

5.56 \times 10^{- 5} A

2

2.28 \times 10^{- 3} A

3

5.56 \times 10^{- 7} A

4

5.50 A

Explanation:

$I_{d} = \frac{ε_{0} A}{d} \times \frac{d V}{d t}$
$= \frac{8.85 \times 10^{- 12} \times π \times 4 \times 10^{- 4} \times 5 \times 10^{3}}{1 \times 10^{- 4}}$
$= 5.56 \times 10^{- 7} A$

PHXI15:WAVES

358762 Match the Column I and Column II.
Column I
Column II
A
$\oint \vec{E} . d \vec{A} = Q / ε_{0}$
P
Faraday's law
B
$\oint \vec{B} . d \vec{A} = 0$
Q
Ampere-Maxwell law
C
$\oint \vec{E} . \vec{d l} = - \frac{d ϕ_{E}}{d t}$
R
Gauss law for electricity
D
$\oint \vec{E} . \vec{d l} = u_{0} i_{c}$ $+ u_{0} ε_{0} \frac{d ϕ_{E}}{d t}$
S
Gauss law for magnetism

1

A - S, B - R, C - Q, D - P

2

A - R, B - Q, C - P, D - S

3

A - R, B - S, C - P, D - Q

4

A - P, B - Q, C - R, D - S

PHXI15:WAVES

358763 Statement A :
Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitor does not change.
Statement B :
The displacement current arises in the region in which the electric field is constant with time.

1 Statement A is correct but Statement B is incorrect.

2 Statement A is incorrect but Statement B is correct.

3 Both statements are correct.

4 Both Statements are incorrect.

PHXI15:WAVES

358764 Maxwell's equations describe the fundamental laws of

1 Electricity only

2 Magnetism only

3 Mechanics only

4 both 1 and 2

PHXI15:WAVES

358765 Displacement current is continuous

1 When electric field is changing in the circuit

2 When magnetic field is changing in the circuit

3 In both types of fields.

4 Through wire and resistance only

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