Why are researchers interested in finding materials with high dielectric constan

Question

Why are researchers interested in finding materials with high dielectric constants? They want to store a lot of charge for any giver voltage They want to make smaller and smaller capacitors They want to get a lot of capacitance for a given geometric configuration of plates All of the above Suppose IWant to decrease the capacitance of a given parallel plate capacitor. Which of the following will accomplish that? Which of the following will NOT make a good material to fill the gap between plate capacitor? Consider a region in space w here the equipotential lines are as shown below (dark solid lines). A positive test charge is moved along three paths as marked in the diagram. Along which path is the maximum work done (just consider the magnitude, don't worry about positive and negative work)

Explanation / Answer

(1) all of the above
(2) We know that
C = eoA/d
therefore on decreasing the area we will get decrease in the capacitance.
therefore (b) is the answer.
(3) C
Since it has the least dielectric constant.
(4) C
since it has the largest potential difference

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