Two small, irregularly shaped conducting objects, one carrying charge + q and on

Question

Two small, irregularly shaped conducting objects, one carrying charge +q and one carrying charge q, are placed on an x axis at = -4.0 m, and = +4.0 m, respectively. Between the objects, the electric field on the x axis is given by E(x)=aq(x2+b), where a and b are constants.

Part A What are the units of a?

Part B What are the units of b?

Part C What is the capacitance of this configuration in terms of a and b, where a is in N/(C^2*m^2) and b is in m^2? Express your answer in terms of the variables a and b. C = __ F

Part B What are the units of b?

Part C What is the capacitance of this configuration in terms of a and b, where a is in N/(C^2*m^2) and b is in m^2? Express your answer in terms of the variables a and b. C = __ F

Explanation / Answer

unit of electric field = N/C

according to ques

E(x) = aqx^2 + aqb

both the component should have same unit i.e N/C

unit of a become = N/C^2m^2

b.)

Unit of b become = m^2

c.)

Unit of Capacitance = C2N1m1

C = 1/ab F   

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