A uniform electric field is generated by two parallel plate electrodes, positive

Question

A uniform electric field is generated by two parallel plate electrodes, positive and negative, respectively, as shown. The dashed lines indicate the electric field. The electric potential at the positive and the negative electrode is 5 V and -5 V, respectively. Consider a charge Q = +3 mC with mass of 1 mg. Imagine that you move the charge Q from point A to point B along the two paths shown. Let W1 and W2 be the work done by the electric field following Path 1 and Path 2, respectively. What is the relationship between W1 and W2? W1 > W2 W1

Explanation / Answer

17) W1=W2

since the work done is conservative and hence the work done is independent of the path .

18) conserving energy,

0.5mv^2=qV

or 0.5*10^-6*v^2=3*10^-3*10

or v=245 m/s

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