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Question 21M.2.HL.TZ2.3a

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Date May 2021 Marks available [Maximum mark: 2] Reference code 21M.2.HL.TZ2.3a
Level HL Paper 2 Time zone TZ2
Command term Demonstrate Question number a Adapted from N/A
a.
[Maximum mark: 2]
21M.2.HL.TZ2.3a

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.

(a)

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=σ2ε0.

Demonstrate that the units of the quantities in this equation are consistent.

[2]

Markscheme

identifies units of σ as C m-2 

Cm2×Nm2C2 seen and reduced to N C-1 

 

Accept any analysis (eg dimensional) that yields answer correctly