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Class 12-science H C VERMA Solutions Physics Chapter 17 - Alternating Current

Alternating Current Exercise 330

Solution 1

Equation of alternating current

  

After time t, it reaches rms value   

  

  

  

 ms

Solution 2

  

Peak voltage,   

  

 Volt

Equation of alternating voltage

  

Time taken from rms value to zero is equal to time taken from zero to rms value .

  

  

  

 ms

Solution 3

Resistance of the bulb

  

Now,

  

  

  

  

Solution 4

Since, brightness is same. So, heat consumed in DC and AC will be same.

  

  

  

  

 volt 

Solution 5

RMS value of power

  

  

Energy consumed

   

  

Solution 6

  

  

 V/m

Potential difference across the capacitor

  

 volt

Rms value of voltage which can be connected

 volt

Solution 7

  

   

  

  

  

  

  

Solution 8

Capacitive reactance,   

Peak voltage, V0 = 10 Volt

  

  

  

(a) At   

   

 

(b) At   

   

 

(c) At   

   

 

(d) At   

   

Solution 9

Inductive reactance,   

Peak voltage, V0 = 10 Volt

Now,

  

  

(a)   

  

(b)   

   

(c)   

  

Solution 10

Impedance of the circuit

  

  

  

 Power consumed=  

  

  

 W

Solution 11

Energy dissipated as heat

  

  

  

  

  

  

  

 J

Solution 12

 Hz

Impedance of the circuit

  

  

  

Peak current

  

 A

Average power dissipated

  

  

 W 

Solution 13

Resistance of the bulb

  

 

 

Potential drop across resistance  volt

Potential drop across inductor VL

Applied potential volt

  

  

I=0.5A

So, current through inductor is I=0.5A

Now, for inductor

  

  

  

  

  

 H

Solution 14

 Hz

  

  

R=300  

Impedance   

  

 

(a) Rms current in the circuit

  

  

  A

 

(b)  volt

 volt 

 volt  

Solution 15

Energy stored in the capacitor

  

 mJ

Energy stored in the Inductor

  

 mJ

Solution 16

(a) Current is maximum when circuit is in resonance condition

  

  

  

 Hz

 

(b) Impedance

Z=R=10kΩ 

Now,

V=IZ

  

I=2mA

Solution 17

Impedance of the circuit is equal to resistance of circuit as current is maximum when impedance is minimum.

V=IZ

24=6.Z

Z=4Ω 

Now, when battery is connected,

  

Current in circuit

V=IR

12=I (8)

I=1.5A

Solution 18

Impedance of the circuit

  

Current in the circuit

  

  

Potential drop across capacitor

  

  

(a) f=10kHz

  

 mV

 

(b) f=100kHz

  

  mV

 

(c) f= kHz

  

 mV

 

(d) f= kHz

   

 V

Solution 19

Zero voltage across secondary coil as there is no change in flux.

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