Answer to Question #134280 in Electricity and Magnetism for Rohan

Question #134280
The direction of the gradient of a scalar field V gives the direction in which

(a) V increases at the highest rate

(b) V decreases at the highest rate

(c) V remains constant for small distances

(d) V changes its sign

(Note:- This question have one or more than one correct choice(s) out of the four given choices. Any number of options may be correct.)
1
Expert's answer
2020-09-22T15:35:38-0400

The interpretation of mathematical definition of gradient is direction and rate of fastest increase. According to this, gradient of a scalar field V gives the direction in which V increases at the highest rate.

Answer: (a) V increases at the highest rate


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