IB Physics-Theme D2 Paper 2-May 2020-Electric Field

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A vertical wall carries a uniform positive charge on its surface. This produces a uniform horizontal electric field perpendicular to the wall. A small, positively-charged ball is suspended in equilibrium from the vertical wall by a thread of negligible mass.
The charge per unit area on the surface of the wall is σ. It can be shown that the electric field strength E due to the charge on the wall is given by the equation
E=σ/(2ε0 ).
a. Demonstrate that the units of the quantities in this equation are consistent.
b. The thread makes an angle of 30° with the vertical wall. The ball has a mass of 0.025 kg. Determine the horizontal force that acts on the ball.
c. The charge on the ball is 1.2 × 10−6 C. Determine σ.
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