1
GATE EE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
The following four vector fields are given in cartesian coordinate system. The vector field which does not satisfy the property of magnetic flux density is
A
$$y^2{\widehat a}_x\;+\;z^2{\widehat a}_y\;+\;x^2{\widehat a}_z$$
B
$$z^2{\widehat a}_x\;+\;x^2{\widehat a}_y\;+\;y^2{\widehat a}_z$$
C
$$x^2{\widehat a}_x\;+\;y^2{\widehat a}_y\;+\;z^2{\widehat a}_z$$
D
$$y^2z^2{\widehat a}_x\;+\;x^2z^2{\widehat a}_y\;+\;x^2y^2{\widehat a}_z$$
2
GATE EE 2008
MCQ (Single Correct Answer)
+2
-0.6
A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300 mm and a cross-sectional area of 300 mm2. The inductance the coil corresponding to a magnetizing current of 3 A will be ( Given that $$\mu_0=4\mathrm\pi\times10^{-7}\;\mathrm H/\mathrm m$$)
A
37.6 µH
B
113.04 µH
C
37.68 mH
D
113.04 mH
3
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
An inductor designed with $$400$$ turns coil wound on an iron core of $$16\,\,c{m^2}$$ cross sectional area and with a cut of an air gap length of $$1$$ $$mm$$. The coil is connected to a $$230$$ $$V,$$ $$50$$ $$Hz$$ ac supply. Neglect coil resistance, core loss, iron reluctance and leakage inductance. $$\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,H/m} \right)$$

The current in the inductor is

A
$$18.08$$ $$A$$
B
$$9.04$$ $$A$$
C
$$4.56$$ $$A$$
D
$$2.28$$ $$A$$
4
GATE EE 2007
MCQ (Single Correct Answer)
+2
-0.6
An inductor designed with $$400$$ turns coil wound on an iron core of $$16\,\,c{m^2}$$ cross sectional area and with a cut of an air gap length of $$1$$ $$mm$$. The coil is connected to a $$230$$ $$V,$$ $$50$$ $$Hz$$ ac supply. Neglect coil resistance, core loss, iron reluctance and leakage inductance. $$\left( {{\mu _0} = 4\pi \times {{10}^{ - 7}}\,H/m} \right)$$

The average force on the core to reduce the air gap will be

A
$$832.29$$ $$N$$
B
$$1666.22$$ $$N$$
C
$$3332.47$$ $$N$$
D
$$6664.84$$ $$N$$
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