3- 2+ (a) Explain why 2 // 7 ? 1 1 7 SF F dr has the same value for all three curves. (b) What is this common value? The vector field is not conservative and all three curves are not simple and closed. The vector field is conservative and the initial points of all three curves coincide with the terminal points. The vector field is conservative and all three curves have the same initial and terminal points. All three curves are simple and not closed. The vector field is not conservative and all three curves are simply connected. (c) Compute the work done by the force field F in moving an object from A=(1, 1) to B=(3, 9)

Q: 5. Consider the vector field given by Ä× R F = (a) Verify that F is a solenoidal vector field. (b)…

A: Solution:   Given that,   Vector Field F=A×RR2

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A: Potential  within a body is constant  and equals to the potential  at surface

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Q: P R Q •V T. N S

A:

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Q: F(r) = ex²+yz|z(1 + 2x²)x+xz²ŷ + x(1+yz)ê

A:

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A: The relation between potential energy and force is given by the relation

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Q: 93 B 42 L

A:

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Q: work done by

A:

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.