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A coil of area 10-3 m2 and consisting of 30 turns of wire is placed with its plane at right angles to a magnetic field of flux density 0.1 T. When the coil is withdrawn from the field a meter in series with coil indicates that a charge of 100 mC has flown around the circuit. What is the combined resistance of the coil and meter?
a wire loop with radius 0.5 m and resistance 2 W is placed in a long solenoid with the plane of the loop perpendicular to the axis of the solenoid. The solenoid has a radius of 0.15 m and has 2500 turns per meter. A current is switched on inside the solenoid and reaches its maximum value in 0.02 s. If a current of 4 mA if induced in the loop, what is the maximum value of the current induced in the solenoid?
A straight Beam of ultrarelavistic electrons confined within a very long cylindrical region of radius less than 1 mm carries a current of 0.01 uA. The strength of the electric field at a point 2cm away from the beam axis will be nearest to
Show that the field given below, in cylindrical coordinates, Is rotational.
F = (150/p^2)ap^ + 10 a(phi)^
A battery with emf 1.5V is used to power a small lightbulb, which appears to be burning rather faintly. Using a voltmeter and ammeter you determine that the current in the circuit is 355mA, and the potential difference between the terminals of the battery is 0.85V. What is the internal resistance of the battery?
State Kirchoff's law
A charge q is uniformly distributed on the surface of a cube and there is no other charge in consideration. Divergence of electric field is-

(a) zero inside the cube
(b) zero outside the cube
(c) zero on the surface of the cube
(d) zero nowhere.

The value of ∮r/r^3.da on a spherical surfacer r = R is 

(a) 4ΠR2  

(b) Zero

(c) 4Π

(d) infinity


 A charged rod is touched to a small metallic sphere placed at the origin. This is done at time t = 0. A sensitive field detector detects the electric fields at points 10 cm away and 50 cm away at time t = 1 nanosecond.


The expression of Coulomb’s law can match the measured value 


(a) at 10 cm point but not at 50 cm point


(b) at 50 cm point but not at 10 cm point


(c) both at 50 cm point and at 10 cm point


  • (d) neither at 50 cm point nor at 10 cm point 
A charge Q is moving with a uniform velocity . find an expression for the vector potential at a distance r from it.
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