A and B are two points on a circular ring made of uniform wire of resistane R. If the part AB of the ring subtends an angle `theta` at the centre C of the ring as shown below, find the resistance of the ring between the points A and B.

A circular copper ring of radius r, placed in vacuum, has a charge q on it. Find out the electric fields at the centre of the ring.

Pa n dQ are two points on a circle of centre C and radius alpha . The angle P C Q being 2theta , find the value of sintheta when the radius of the circle inscribed in the triangle C P Q is maximum.

ABC is a triangle made up of wire.The resistances of the sides AB, BC and CA are respectively 40, 60 and 100Omega The equivalent resistance between the points A and B is :

A and B are two points in xy-plane, which are 2sqrt2 units distance apart and subtend and angle of 90^@ at the point C(1, 2) on the x - y + 1= 0 which is larger than any angle subtended by the line segment AB at any other point on the line. Find the equation(s) of the circle through the points A, B and C

A point charge -q is carried from a point A to anther point B on the axis of a charged ring of radius r carrying a charge +q. If the point A is at a distance 4/3 r from the centre of the ring and the point B is 3/4 r from the centre but on the opposite side, what is the net work that need to be done for this

A wire loop carrying a current l is placed in XY plane as shown below The extremities M and N of the current loop subtends an angle 120^@ at the centre P of the circular part of the loop. If a particle with charge +Q and mass m is placed at the centre P and given a velocity oversetrarrv along NP, find the instantaneous acceleration.

A vertical tower PQ subtends the same anlgle of 30^@ at each of two points A and B ,60 m apart on the ground .If AB subtends an angle of 120^@ at P the foot of the tower ,then find the height of the tower .

Let A and B be two distinct points on the parabola y^2=4x . If the axis of the parabola touches a circle of radius r having AB as its diameter, then find the slope of the line joining A and B .