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GATE EE : Electromagnetic fields Champion Quiz 1
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Question 1
A ball of radius R as 50cm has total charge of 36 mC that is uniformly distributed throughout its volume. What will be the magnitude of electric field at 0 cm?
Question 2
Match the following.
P. Stokes’s Teorem
Q. Gauss’s Theorem
R. Divergence Theorem
S. Cauchy’s Integral Theorem
1)
2)
3)
4)
P. Stokes’s Teorem
Q. Gauss’s Theorem
R. Divergence Theorem
S. Cauchy’s Integral Theorem
1)
2)
3)
4)
Question 3
Given a vector field F, the divergence theorem states that
Question 4
If the electric field established by three point charges Q, 2Q and 3Q exerts a force 
on 3Q and 
on 2Q, then what is the force exerted on the point charge Q?
on 3Q and on 2Q, then what is the force exerted on the point charge Q? Question 5
For electrostatic fields in charge free atmosphere, which one of the following is correct?
Question 6
Two point charges Q1 = 10μC and Q2 = 20μC are placed at coordinate (1, 1, 0) and (–1, –1, 0) respectively. The total electric flux passing through a plane z = 20 will be
Question 7
Determine the correctness or otherwise of the following Assertion [a] and theReason [r].
Assertion: Under V/f control of induction motor, the maximum value of the developed torque remains constant over a wide range of speed in the sub-synchronous region.
Reason: The magnetic flux is maintained almost constant at the rated value by keeping the ratio V/f constant over the considered speed range.
Assertion: Under V/f control of induction motor, the maximum value of the developed torque remains constant over a wide range of speed in the sub-synchronous region.
Reason: The magnetic flux is maintained almost constant at the rated value by keeping the ratio V/f constant over the considered speed range.
Question 8
Which of the following is zero as applied to electromagnetic fields?
Question 9
Which of the following statement holds for the divergence of Electric & Magnetic Flux densities
1) Both are zero
2) These are zero for static densities but not zero for time-varying densities
3) It is zero for the electric flux density
4) It is zero for the magnetic flux densities
1) Both are zero
2) These are zero for static densities but not zero for time-varying densities
3) It is zero for the electric flux density
4) It is zero for the magnetic flux densities
Question 10
The following point charges are located in air :
+0.008 μC at (0, 0) m
+0.05 μC at (3, 0) m
-0.009 μC at (0, 4) m
The total electric flux over a sphere of 5 m radius with centre (0, 0) is
+0.008 μC at (0, 0) m
+0.05 μC at (3, 0) m
-0.009 μC at (0, 4) m
The total electric flux over a sphere of 5 m radius with centre (0, 0) is
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Jun 20ESE & GATE EE
