Question: answer the questions 7. A voltage field is given as: v 5 il = exp(x? + y?) (a) Is I a scalar ficld or a

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7. A voltage field is given as: v 5 il = exp(x? + y?) (a) Is I a scalar ficld or a vector ficld? (b) Find aV /0x. (c) Find 9V /0y. (d) Find 0V /0z. (e) Find grad V. (f) Evaluate grad Vat (x,y,z) = (0,0,0). Express the answer using 3 significant figures. 8. An electric field is given as: E(x,y) = sech (f) X + sech (f) y a a for some constant @. Here, we note that the famous sech function (also called the hyperbolic secant function) is defined as: 1 h() = sech() i (a) Find the divergence of E (at any point in space). (b) Find the curl of the divergence of E (at any point in space)

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