1
GATE EE 2012
+1
-0.3
For the circuit shown in the figure, the voltage and current expressions are
$$v\left( t \right) = {E_1}\sin \left( {\omega t} \right) + {E_3}\sin \left( {3\omega t} \right)$$ and
$$i\left( t \right) = {{\rm I}_1}\sin \left( {\omega t - {\varphi _1}} \right) + {{\rm I}_3}\sin \left( {3\omega t - {\varphi _3}} \right) + {{\rm I}_5}\sin \left( {5\omega t} \right)$$

The average power measured by the Wattmeter is

A
$${1 \over 2}{E_1}{{\rm I}_1}\cos {\phi _1}$$
B
$${1 \over 2}\left[ {{E_1}{{\rm I}_1}\cos {\phi _1} + {E_1}{{\rm I}_3}\cos {\phi _3} + {E_1}{{\rm I}_5}} \right]$$
C
$${1 \over 2}\left[ {{E_1}{{\rm I}_1}\cos {\phi _1} + {E_3}{{\rm I}_3}\cos {\phi _3}} \right]$$
D
$${1 \over 2}\left[ {{E_1}{{\rm I}_1}\cos {\phi _1} + {E_3}{{\rm I}_1}\cos {\phi _1}} \right]$$
2
GATE EE 2011
+1
-0.3
Consider the following statement:
(i) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the current coil.
(ii) The compensating coil of a low power factor wattmeter compensates the effect of the impedance of the voltage coil circuit.
A
(i) is true but (ii) is false
B
(i) is false but (ii) is true
C
both (i) and (ii) are true
D
both (i) and (ii) are false
3
GATE EE 2010
+1
-0.3
A wattmeter is connected as shown in the fig. the wattmeter reads
A
zero always
B
Total power consumed by $${Z_1}$$ & $${Z_2}$$
C
Power consumed by $${Z_1}$$
D
Power consumed by $${Z_2}$$
4
GATE EE 2006
+1
-0.3
A sampling wattmeter (that computes power from simultaneously sampled values of voltage and current) is used to measure the average power of a load. The peak to peak voltage of the square wave is $$10V$$ and the current is triangular wave of $$5A$$ $$p$$-$$p$$ as shown in the figure. The period is $$20$$$$ms$$. The reading in $$W$$ will be
A
$$0W$$
B
$$25W$$
C
$$50W$$
D
$$100W$$
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