Question

Two parallel plate capacitor is X and Y have the same area of plates and same separation between them are connected in series. X has air between the plates and Y contains a dielectric medium K= 5. The capacitance of capacitor Y, if the equivalent capacitance of the combination is 5µF, will be​

Answer 1

Answer:

OK I WILL SEND YOU AFTER WRITING OK OK

Answer 2

Answer:

Let the area of the plates be A and distance between the plates be d

∴ Capacitance of capacitor X C

1

=

d

Aϵ

o

Also capacitance of capacitor Y C

2

=

d

E

r

Aϵ

o

=

d

4Aϵ

o

=4C

1

Equivalent capacitance in series combination, C

eq

=

C

1

+C

2

C

1

×C

2

∴ 4μF=

C

1

+4C

1

C

1

×4C

1

OR 4μF=

5

4C

1

⟹C

1

=5μF

∴ C

2

=4×5μF=20μF

Let the total charge flowing through the circuit be Q

∴ Q=C

eq

V

∴ Q=4μF×15=60μC

Potential drop across capacitor X, V

1

=

C

1

Q

=

5μF

60μC

=12V

Potential drop across capacitor Y, V

2

=

C

2

Q

=

20μF

60μC

=3V

Electrostatic energy stored in a capacitor E=

2C

Q

2

∴

E

2

E

1

=

2C

2

Q

2

2C

1

Q

2

=

C

1

C

2

=

5μF

20μF

=4

plzz follow me ❤️