Q.

The electric field strength depends only on the x, y and z coordinates  according to the law E=a(xi^ +yj^+zk^)(x2+y2+z2)3/2,where  a=280  Nm2C−1 is a constant. If the potential difference between (3,2,6) and (0,3,4) is  x2. What is the value of x.

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answer is 4.

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Detailed Solution

E→=ar→r2V=−arΔV=ar2−ar1=a5−a7=2×28035=16  V  =42
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The electric field strength depends only on the x, y and z coordinates  according to the law E=a(xi^ +yj^+zk^)(x2+y2+z2)3/2,where  a=280  Nm2C−1 is a constant. If the potential difference between (3,2,6) and (0,3,4) is  x2. What is the value of x.