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A small charged sphere of mass 2.1 × 10-4kg, suspended from a thread of insulating

material, was placed between two vertical parallel plates 60 mm apart. When a potential

difference of 4200 V was applied to the plates, the sphere moved until the thread made an angle

of 6o to the vertical.

i) Draw a free body diagram indicating all the forces acting on the sphere.

ii) State and explain the origin of each of the forces acting on the sphere



A small charged sphere of mass 2.1 × 10-4kg, suspended from a thread of insulating

material, was placed between two vertical parallel plates 60 mm apart. When a potential

difference of 4200 V was applied to the plates, the sphere moved until the thread made an angle

of 6o to the vertical.

i) Draw a free body diagram indicating all the forces acting on the sphere.

ii) State and explain the origin of each of the forces acting on the sphere

iii) Calculate the charge on the sphere and determine the number of charged particles on the sphere.


A charged oil drop of radius 1.3 × 10-6m is prevented from falling under gravity by the vertical electric field between two horizontal parallel plates charged to a difference of potential of 8340 V. The distance between the plates is 16 mm, and the density of oil is 920 kgm-3. Calculate the magnitude of the charge on the drop


Define (i) electric field strength, (ii) electric potential.

How are these quantities related?


Points A and B are 0.10 􀀄 apart. A point charge of +3.0 × 10-9C is placed at A and a point charge of

−1.0 × 10-9C is placed at B.

i) X is a point on the straight line through A and B, between A and B, where the electric potential is zero.

Calculate the distance AX.

ii) Show on a diagram the appropriate position of a point, Y, on the straight line through A and B where the field strength is zero.


A charged oil drop remains stationary when situated between two parallel horizontal metal plates 25 mm apart and a p.d. of 1000 V is applied to the plates. Find the charge on the drop if it has a mass of 5 × 10-15kg.

Draw a sketch of the electric field between the plates and state if the field is everywhere uniform.


What is the potential gradient between two parallel plane conductors when their separation is 20 mm and a p.d. of 400 V is applied to them?

Calculate the force on an oil drop between the plates if the drop carries a charge of 8 × 10-19C.


The above figure shows a rectangular array of charged particles fixed in place, with distance a=39.0 cm and the charges shown as integer multiples of q1​=3.40 pC and q2​=6.00 pC. With V=0 at infinity, what is the net electric potential at the rectangle's center?  

What is resistance
The length of a metal wire is drawn and doubled. How many times will the new resistance of the wire become?