1
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
Consider the following statements with reference to the equation $$\nabla.\overrightarrow J=-\frac{\partial\rho}{\partial t}$$

1. This is a point from the continuity equation
2. Divergence of current density is equal to the decrease of charge per unit volume per unit time at every point.
3. This is Maxwell's divergence equation
4. This represents the conservation of charge.

Select the correct answer.
A
Only 2 and 4 are true
B
1, 2 and 3 are true
C
2, 3 and 4 are true
D
1, 2 and 4 are true
2
GATE EE 2006
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statements holds for the divergence of electric and magnetic flux densities?
A
Both are zero
B
These are zero for static densities but non zero for time varying densities
C
It is zero for the electric flux density
D
It is zero for the magnetic flux density
3
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
The expression $$V = \int\limits_0^H {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dh\,\,\,} $$ for the volume of a cone is equal to _________.
A
$$\int\limits_0^R {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dr\,\,\,} $$
B
$$\int\limits_0^R {\pi {R^2}{{\left( {1 - {h \over H}} \right)}^2}dh\,\,\,} $$
C
$$\int\limits_0^H {\,\,2\pi rH\left( {1 - {r \over R}} \right)dh\,\,\,} $$
D
$$\int\limits_0^R {\,\,2\pi rH{{\left( {1 - {r \over R}} \right)}^2}dr\,\,\,} $$
4
GATE EE 2006
MCQ (Single Correct Answer)
+2
-0.6
A solar cell of $$350V$$ is feeding power to an $$ac$$ supply of $$440$$ $$V,$$ $$50$$ $$Hz$$ through a $$3$$- phase fully controlled briodge converter. A large inductance is connected in the $$dc$$ circuit to maintain the $$dc$$ current at $$20A.$$ If the solar cell resistance of $$0.5\Omega ,$$ then each thryristor will be reverse biased for a period of
A
$${125^ \circ }$$
B
$${120^ \circ }$$
C
$${60^ \circ }$$
D
$${55^ \circ }$$
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