Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry PDF

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Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry

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This set of Electromagnetic Theory Multiple Choice Questions & Answers (MCQs) focuses on “Stoke’s Theorem”. 1. Find the value a) i + j b) j + k c) i + j + k

View Answer Answer: d Explanation: The curl of y i + z j + x k is i(0-1) – j(1-0) + k(0-1) =

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-i –j –k. Since the curl is zero, the value of Stoke’s theorem is zero. The function is said to

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Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry

which of the following operation?

a) Divergence b) Gradient d) Laplacian View Answer Answer: c Explanation: ∫A.dl = ∫∫ Curl (A).ds is the expression for Stoke’s theorem. It is clear that the theorem uses curl operation. 3. Which of the following theorem a) Gauss divergence and Stoke’s theorem b) Stoke’s theorem only c) Green’ s theorem only

View Answer Answer: d Explanation: The Stoke’s theorem is given by ∫A.dl = ∫∫ Curl (A).ds. Green’s theorem is given by, ∫ F dx + G dy = ∫∫ (dG/dx – dF/dy) dx dy. It is clear that both the theorems convert line to surface integral.

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Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry

c) Rotational d) Curl free View Answer Answer: Since curl is required, we need not bother about divergence property. The curl of the function will be i(0-0) – j(0-0) + k(0-0) = 0. The curl is zero, thus the function is said to be irrotational or curl free. advertisement

Dainsleif questions and answers in Ge…

5. The

which of the following?

b) Volume enclosed by a function in the given region c) Linear distance d) Curl of the function View Answer Answer: a Explanation: It states that the line integral of a function gives the surface area of the function enclosed by the given region. This is computed using the double integral of the curl of the function. 6. The energy stored in an a) 4 b) 8 c) 12

View Answer

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Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry

7. The b) 5.7 c) 57 d) 570 View Answer Answer: a 2

Explanation: We can compute the energy stored in a capacitor from Stoke’s theorem as 0.5Cv . 2 Thus given energy is 0.5 X 12 X v . We get v = 0.57 volts. advertisement

8. Find the power, given energy

J = x2 varies from x = 0 and x = 1.

a) 1/3 c) 1 d) 4/3 View Answer Answer: b Explanation: From Stoke’s theorem, we can calculate P = E X I = ∫ E. J ds = 2∫ x 2 dx as x = 0->1. We get P = 2/3 units.

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Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry

c) 4000 d) 5000 View Answer Answer: d -6 Explanation: The current density is given by, J = σE. To nd conductivity, σ = J/E = 1/200 X 10 = 5000. 10. length is

length 10m and area twice that of the

a) 200 b) 300 d) 500 View Answer Answer: c Explanation: Resistance calculated from Ohm’s law and Stoke’s theorem will be R = ρL/A. To get resistivity, ρ = RA/L = 200 X 20/10 = 400. advertisement

Sanfoundry Global Education & Learning Series – Electromagnetic Theory. To practice all areas of Electromagnetic Theory, here is complete set of 1000+ Multiple Cho

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Stokes Theorem - Electromagnetic Theory Questions and Answers - Sanfoundry

Participate in the Sanfoundry Certication contest to get free Certicate of Merit. Join our social networks below and stay updated with latest contests, videos, internships and jobs! Telegram | Youtube | LinkedIn | Instagram | Facebook | Twitter | Pinterest « Prev - Electromagnetic Theory Questions and Answers – Laplacian Operator » Next - Electromagnetic Theory Questions and Answers – Green’s Theorem advertisement

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19. Electromagnetic Theory Questions and Answers – Magnetic Boundary Conditions 20. Electromagnetic Theory Questions and Answers – Maxwell Law 4 advertisement

Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn

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