A letter .A. consists of a uniform wire of resisrtance .A. one ohm per cm. The sides of the letter are each 20 cm long and crosspiece in the middle is 10cm long, while the apex angle is `60^@`. Find the resistance of the letter between two ends of the legs A. and E as shown in figure given below.

A wire of resistance 12 Omega m^(-1) is bent to from a complete circle of radius 10 cm. The resistance between its two diametrically opposite points, A and B as shown in the figure, is

A 6 V battery is connected to the terminals of a 3 m long wire of uniform thickness and resistance of 100 Omega . The difference of potential between two points on the wire separated by a distance of 50 cm will be

A 10 meter long wire of uniform cross section of 20 Omega resistance is used as a potentiometer wire. This wire is connected in series with a battery of 5V along with an external resistance of 480 Omega if an unknown emf epsilon is balanced at 600 cm of this wire , calculate the potential gradient of the potentiometer wire.

Figure depicts a racking track whose left and right ends are semicircular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find the area of the track.

Figure depicts a racking track whose left and right ends are semicircular. The distance between the two inner parallel line segments is 60 m and they are each 106 m long. If the track is 10 m wide, find the distance around the track along its inner edge.

A small retangular coil ABCD contains 140 turns of wire. The sides AB and BC of the coil are of length 4.5 and 2.8 cm respectively, as shown in the figure The coil is held between the poles of a large magnet so that the coil can rotate about an axis thorugh its centre. The magnet produces a uniform magnetic field of flux density B between its poles. When the current in the coil is 170 mA, the maximum torque produced in the coil is 2.1 xx 10^-3 N m . The current in the coil in (a) is switched off and the coil s positioned as shown in the figure. The coil is then turned thorugh an angle of 90^@ in a time of 0.14 s. Calculate the average e.m.f. induced in the coil.

A 10 meter long wire of uniform cross section of 20 Omega resistance is used as a potentiometer wire. This wire is connected in series with a battery of 5V along with an external resistance of 480 Omega if an unknown emf epsilon is balanced at 600 cm of this wire , calculate the value of the unknown emf.

Figure shows a potentiometer circuit for comparison of two resistances. The balance point with a standard resistor R = 10 Omega is found to be 58.3 cm, while that with the unknown resistance x is 68.5 cm. What would you do, if you failed to find a balance point with the given cell E?