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12. A steady current I goes through a wire loop PQR having shape of a right angle triangle with PQ = 3x, PR = 4x and QR = 5x. If the magnitude of the magnetic field at P due to this loop is k , find the value of k.
Sol. 7
We have ,
B = (μ0 I)/(48π * 12x/5) [cos 53o + cos 37o] = 7 (μ0 I)/48πx
k = 7
13. A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10 m/s2, find the work done (in joules) by the string on the block of mass 0.36 kg during the first second after the system is released from rest.
Sol. 8
Applying Newton's 2nd law,
2mg - T - 2ma
T - mg = ma
=> a = g/3
T = 4mg/3
W = Tension .Displacement = T . 1/2 at2 = 8 Joules
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