Two concentric coplanar circular loops made of wire with resistance per unit length `10^(-4)Omega//m`, have diameters 0.2 m and 2m. A time varying potential difference (4+2.5t) volt is applied to the larger loop. Calculate the current in the smaller loop.

Two concentric coplanar circular loops made of wire, with resistance per unit length lambda , have radii r_(I) and r_(2)(r_(2) gt gtr_(I)) . A potential difference (alpha+betat) is applied to the larger loop, where t is time. Calculate current in the smaller loop.

A very small circular loop of area 5xxI0^(-4)m^(2) , resistance 2Omega and negligible inductance is initially coplanar and concentric with a much larger fixed circular loop of radius 0.Im . A constant current of IA is passed in the bigger loop and the smaller loop is rotated with angular velocity omegarad//sec about a diameter. Calculate (a) the flux limked with the smaller loop, (b) indced emf (c) induced current in the smaller loop, as a function of time.

A potentiometer consists of a wire of length 4 m and resistance 10 Omega . If is connected of cell of emf 2V . The potential difference per unit length of the wire will be

A large circular loop of radius 1 metre has total resistance 4Omega . A variable current is folwing through the loop. The current at any instant is given by equation l = lA, where i is time in second. A very small circular loop or radius 1 cm having resistance 3.14 Omega is placed coaxially with the larger loop at a distance of sqrt3 metre from the centre of larger loop. If induced current in smaller loop is (mu_(0)x xx 10^(-4))/(16) ampere then, find x.

A conducting circular loop of radius a and resistance per unit length R is moving with a constant velocity v_0 , parallel to an infinite conducting wire carrying current i_0 . A conducting rod of length 2a is approaching the centre of the loop with a constant velocity v_0/2 along the direction 2 of the current. At the instant t = 0 , the rod comes in contact with the loop at A and starts sliding on the loop with the constant velocity. Neglecting the resistance of the rod and the self-inductance of the circuit, find the following when the rod slides on the loop. (a) The current through the rod when it is at a distance of (a/2) from the point A of the loop. (b) Force required to maintain the velocity of the rod at that instant.

A very small circular loop of radius a is initially coplanar & concentric with a much larger circular loop of radius b (gtgta) . A constant current is passed in the large loop which is kept fixed in space & the small loop is rotated with angular velocity omega about a diameter. The resistance of the small loop is R & its self inductance is negligible. The current in the larger loop is clockwise. Find the current in the small loop as a function of time.

A current i=alphat , where t is time is flowing in a long wire. A smaller circular loop of radius a has its plane parallel to the wire and is placed at distance d from the wire. If resistance per unit length of loop is lambda , find the magnitude and direction of the current in the loop.

A circular brass loop of radius a and resistance R is placed with it plane perpendicular to a magnetic field, which varies with time as B = B_(0) sin omega t . Obtain the expression for the induced current in the loop.