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Sphere A has an initial charge q0. How many successive contacts an uncharged identical sphere must be made to reduce the charge of sphere A to 1/32 of its initial charge?


A charged particle is moving on a circular path of radius R and there is a point P at distance 2R from centre in same plane of circular path. Then find minimum time interval between two successive times at which magnetic field at point P will be zero.


The strength of a magnetic field is 6 Tesla. If the area of the loop is 0.02 m2. Count the number of magnetic field lines passing through the loop?


Two equal charges , Q1 and Q2, separated by a distance r, experience an electrostatic force F. What is the new force F if the distance between the two charges becomes (a) 2r; (b) 3r; (c) r/2; (d) r/3


A parallel plate capacitor has its plates separated with a slab of 4mm thickness and a dielectric 

constant of 3. If the capacitance is to be one-third of the original value when a second slab of 

6mm thickness is inserted between the plates, what should be the relative permittivity of the 

second slab?


The Electron and the proton have opposite signs, so the electric force between the particles is attractive. The ratio F electric/Fg= 2×10^39; hence , the gravitational force between the particles is negligible compared with the electric force between them. Because each force is inversely proportional to distance squared, their ratio is independent of the distance between the two particles


A stent is a cylindrical tube, often made of metal mesh, that’s inserted into a blood vessel to overcome a constriction. It’s sometimes necessary to heat the stent after insertion to prevent cell growth that could cause the constriction to recur. One method is to place the patient in a changing magnetic field, so that induced current sheat the stent. Consider a stainless-steel stent 12 mm long by 4.5 mm in diameter, with total resistance 41 mΩ. Treating the stent as a wire loop in the optimum orientation,find the rate of change of magnetic field needed for a heating power of 250 mW.


A conducting loop with area 0.15 m2and resistance 6.0 Ω lies in the x−y plane. A spatially uniform magnetic field points in the + z direction. The field varies with time according to B_z=at2−b, where a= 2.0 T/s2andb= 8.0 T. Find the loopcurrent magnitude and direction

(a) at t= 3.0 s and

(b) when B_z= 0 T.


16.) The superconducting solenoid in an MRI scanner has inductance 342 mH and normally carries 1.85 kA. Copper conductors with resistance 21.6 mΩ are embedded in the superconducting coils. If superconductivity is suddenly lost and copper takes over the conduction, how long will it take for the current to drop below 250 A?


The current in an inductor is changing at 110 A/s and the inductor emf is 45 V. What is the inductance of the inductor?


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