12 Physics Electromagnetic Induction and Alternating Current Test 02 Answer 4f7g

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    CBSE TEST PAPER-02

    CLASS - XII PHYSICS (Electromagnetic Induction and Alternating current)

    [ANSWERS]

    Ans 1: X is a purely capacitive circuit

    1 1

    2C

    Xc wC

    = =

    Ans 2:2200

    10220

    Ns EsK

    Np Ep= = = =

    Ans 3: P = E rms I rms cos

    But for an ideal inductor2

    =

    cos cos 02

    = =

    Ans 4: The capacitive reactance

    1 1

    2C

    XwC Vc

    = =

    For d.c. = 0

    CX =

    Since capacitor offers infinite resistance to the flow of d.c. so d.c. cannot pass

    through the capacitor.

    Ans 5: Consider a long solenoid of area A through which current I is flowing

    Let N be the total number of turns in the solenoid

    Total flux = NBA

    Here = B = onI

    Where n is no. of turns per unit length of the solenoid

    N = nlnl onIA =

    2(1)

    =LI-------------(2)

    on AlI

    Also

    =

    Equation (1) & (2)2on AlI LI =

    2L on Al=

    [n = N/ ]

    P = 0

    2oN A

    L

    l

    =

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    One henry if current is changing at a rate of 1A/s in a coil induces an emf. of 1

    volt in it then the inductance of the coil is one henry.

    Ans 6: consider a circular loop connect the centre with point P with a resistor.

    The potential difference across the resistor = induced emf.B= Rate of change of area of loop.

    If the resistor QP is rotated with angular velocity w and turns by an angle in

    time t then

    Area swept1

    2A R R=

    2

    2

    2 2

    1

    2

    cos

    1

    2

    1 1

    2 2

    o

    A R

    BA BA

    B R

    d d dBR BR

    dt dt dt

    =

    = =

    =

    = = =

    Ans 7: (a)1

    2C

    Xc

    =

    For a.c. when

    XC = 0Thus at a very high frequency of a.c. capacitor behaves as a conductor

    (b)1

    2C

    Xc

    =

    1

    2

    C

    L

    X

    X WL LXL

    = =

    Ans 8: (1) k = 100, Ep = 200V

    EpIp = 1000 W, Np = 100

    100

    100

    100 100

    NsK

    Np

    Ns Np

    Ns

    = =

    =

    =

    21

    2BwR=

    NS = 10,000

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    (2) EpIp = 1000W

    1000

    10005

    200

    Ip Ep

    Ip A

    =

    = =

    (3)Es Ns

    Ep Np=

    200 100

    NsEs Ep

    Np

    Es

    =

    =

    (4)Es Ip

    Ep Is=

    1000 1

    20000 20

    IpEpIs

    Es

    Is

    =

    = =

    (5) For step up Trans former k > 1

    Ip = 5A

    Es = 20000 Volt

    Is = 0.05 A

    NsK

    Np=