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Obtain an expresion for average power di...

Obtain an expresion for average power dissipated in a purely resistive `A.C.` circuit. Define power factor of the circuit and state its value for purely resistive `A.C.` circuit.
A rectangular coil of a moving coil galvanometer contains `50` turns each having area `12cm^(2)`. It is suspended in radial magnetic field `0.025 Wb//m^(2)` by a fibre of twist constant `15xx10^(-10)N-m//degree`. Calculate the sensitivity of the moving coil galvanometer.

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### Step-by-Step Solution #### Part A: Average Power Dissipated in a Purely Resistive AC Circuit 1. **Understanding Power in AC Circuits**: The instantaneous power \( P(t) \) in an AC circuit can be expressed as: \[ P(t) = V(t) \cdot I(t) ...
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A rectangular coil of a moving coil galvanometer contains 100 turns, each having area 15 cm^(2) . It is suspended in the radial magnetic field 0.03 T. The twist constant of suspension fibre is 15xx10^(-10) N-m/degree. Calculate the sensitivity of the moving coil galvanometer.

The rectangular coil of a moving-coil galvanometer has 100 turns each of area 15 cm^(2) . It is suspended in a radial magnetic field of induction 0.03 Wb//m^(2) by a fibre of twist constant 15 xx 10^(-10) N.m /degree. Calculate the current sensitivity of the galvanometer.

Knowledge Check

  • A rectangular coil of a moving coil galvanometer containing 100 turns and 5 cm long and 3 cm broad is suspended in a radial magnetic field of induction 0.025 Wb//m^(2) by a fibre of torque constant 1.5 xx 10^(-9) Nm per degree. The current for which coil will deflect through an angle of 10^(@) is

    A
    `4 mu A`
    B
    `3 mu A`
    C
    `5 mu A`
    D
    `6 mu A`
  • A coil of a moving coil galvanometer has 100 turns and effective area of 0.005 m^(2) . It is suspended in a radial magnetic field of induction 0.001 Wb//m^(2) . The torque per unit twist of thr suspension fibre is 5 xx 10^(-9)Nm /degree. What is the currebnt sectivity of the moving coil galvanometer?

    A
    `10^(5)` degree/ampere
    B
    `10^(7)` degrees/ampere
    C
    `2 xx 10^(6)` degrees/ampere
    D
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  • A rectangular coil of a moving coil galvanometer has 50 turns and an area of 12cm^2 . It is suspended in a radial magnetic field of induction 0.025 Wb//m^2 . The torsional constant of the suspension fibre is 1.5 xx10^-9 Nm/degree. The current required to produce the deflection of 5^@ is

    A
    `5muA`
    B
    `2muA`
    C
    `4.5muA`
    D
    `5.5muA`
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