Two positively charged particles, each carrying a charge of 3.6 × 10−8 C and having the same mass, are located at a distance of 0.1 m away from each other. If the electrostatic force on one of the charges is equal to its weight, then the mass of the system is :
1.019 g
1.182 g
0.854 g
0.238 g
Four charges q, 2q, 3q and 4q are located at the vertices of a square of side a (as shown in the given figure). k is the electrostatic constant. What is the sum of the magnitude of forces exerted on each charge?
Two charged particles are located at a distance of 1.5 m. The force of attraction between the charges is 2.1 × 10−7 N. One particle has a charge equal to two thirds the charge of another particle. What is the value of charges on the two particles?
There are three charges, , placed along a straight line of length 10 m, as shown in the given figure.
What is the net electrostatic force acting on charge q2?
12 × 10−3 N towards q1
28.5 × 10−3 N towards q1
12 × 10−3 N towards q3
28.5 × 10−3 N towards q3
A positive charge q is placed at the centre of a cube. A side of the cube is 0.2 m. The electric flux through each Gaussian surface of the cube is 4.708 × 104 N m2 C−1. What is the value of charge q ?
1 μC
1.5 μC
2.5 μC
3 μC
The electric field intensity vector in a region of space is given by The electric flux through a surface area of 50 m2 in x−y plane is
100 N m2 C−1
150 N m2 C−1
200 N m2 C−1
450 N m2 C−1
Two charges, +2 µC and +8 µC, are placed 0.1 m apart. Another charge is placed between the two, which brings the system in equilibrium.What is the magnitude of the third charge?
0.75 µC
0.87 µC
2.50 µC
1.25 µC
Two charged balls are suspended from a hinge by two threads of equal lengths. Mass of both the balls is 200 g. The amount of charges on both the balls is the same. At translational equilibrium, the balls are separated by a distance of 0.8 m, as shown in the given figure. What is the magnitude of charge on each ball?
4.33 µC
8.97 µC
17.16 µC
34.48 µC
The bob of a pendulum of mass 100 g is at equilibrium in a horizontal uniform electric field of 2.5 × 105 V m−1. In this equilibrium position, the pendulum makes an angle with the vertical. The amount of charge on the bob is 3 µC. Assume that the bob is suspended by means of a thin mass-less string. What will be the tension in the string when the bob is at equilibrium?
0.75 N
1.23 N
0.75 × 102 N
1.23 × 102 N
A coil of resistance R and inductance L is connected to a battery of e.m.f. E volts. The final current in the coil is
