356067
The instantaneous value of current and voltage in an \(A C\) circuit are given by \(I = 6\sin (100\pi t + \pi /4){\rm{ and}}\) \(V = 5\sin (100\pi t - \pi {\rm{/}}4){\rm{ then}}\)
1 voltage leads the current by \(45^{\circ}\)
2 current leads the voltage by \(45^{\circ}\)
3 voltage leads the current by \(90^{\circ}\)
4 current leads the voltage by \(90^{\circ}\)
Explanation:
The phase difference between instantaneous values of current and voltage is \(\dfrac{\pi}{4}-\left(\dfrac{-\pi}{4}\right)=\dfrac{\pi}{2}\) \( \Rightarrow \) the current leads the voltage by \(90^{\circ}\).
MHTCET - 2022
PHXII07:ALTERNATING CURRENT
356068
The intial phase angle for \(i = 10\sin \omega t + 8\cos \omega t\) is
356069
Voltage and current in an \(ac\) circuit are given by \(V = 5\sin \left( {100\pi t - \frac{\pi }{6}} \right)\) and \(I = 4\sin \left( {100\pi t + \frac{\pi }{6}} \right)\)
356070
The variation of the instantaneous current \((I)\) and the instantaneous \(emf\) \((V)\) in a circuit is as shown in figurre. Which of the following statement is correct.
1 The voltage lag behind the current by \(\pi / 2\)
2 The voltage leads the current by \(\pi / 2\)
3 The voltage and the current are in phase
4 The voltage leads the current by \(\pi\)
Explanation:
At \(t=0\), phase of the voltage is zero, while phase of the current is \(\dfrac{-\pi}{2}\), i.e., voltage leads by \(\dfrac{\pi}{2}\). So, correct option is (2).
NEET Test Series from KOTA - 10 Papers In MS WORD
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PHXII07:ALTERNATING CURRENT
356067
The instantaneous value of current and voltage in an \(A C\) circuit are given by \(I = 6\sin (100\pi t + \pi /4){\rm{ and}}\) \(V = 5\sin (100\pi t - \pi {\rm{/}}4){\rm{ then}}\)
1 voltage leads the current by \(45^{\circ}\)
2 current leads the voltage by \(45^{\circ}\)
3 voltage leads the current by \(90^{\circ}\)
4 current leads the voltage by \(90^{\circ}\)
Explanation:
The phase difference between instantaneous values of current and voltage is \(\dfrac{\pi}{4}-\left(\dfrac{-\pi}{4}\right)=\dfrac{\pi}{2}\) \( \Rightarrow \) the current leads the voltage by \(90^{\circ}\).
MHTCET - 2022
PHXII07:ALTERNATING CURRENT
356068
The intial phase angle for \(i = 10\sin \omega t + 8\cos \omega t\) is
356069
Voltage and current in an \(ac\) circuit are given by \(V = 5\sin \left( {100\pi t - \frac{\pi }{6}} \right)\) and \(I = 4\sin \left( {100\pi t + \frac{\pi }{6}} \right)\)
356070
The variation of the instantaneous current \((I)\) and the instantaneous \(emf\) \((V)\) in a circuit is as shown in figurre. Which of the following statement is correct.
1 The voltage lag behind the current by \(\pi / 2\)
2 The voltage leads the current by \(\pi / 2\)
3 The voltage and the current are in phase
4 The voltage leads the current by \(\pi\)
Explanation:
At \(t=0\), phase of the voltage is zero, while phase of the current is \(\dfrac{-\pi}{2}\), i.e., voltage leads by \(\dfrac{\pi}{2}\). So, correct option is (2).
356067
The instantaneous value of current and voltage in an \(A C\) circuit are given by \(I = 6\sin (100\pi t + \pi /4){\rm{ and}}\) \(V = 5\sin (100\pi t - \pi {\rm{/}}4){\rm{ then}}\)
1 voltage leads the current by \(45^{\circ}\)
2 current leads the voltage by \(45^{\circ}\)
3 voltage leads the current by \(90^{\circ}\)
4 current leads the voltage by \(90^{\circ}\)
Explanation:
The phase difference between instantaneous values of current and voltage is \(\dfrac{\pi}{4}-\left(\dfrac{-\pi}{4}\right)=\dfrac{\pi}{2}\) \( \Rightarrow \) the current leads the voltage by \(90^{\circ}\).
MHTCET - 2022
PHXII07:ALTERNATING CURRENT
356068
The intial phase angle for \(i = 10\sin \omega t + 8\cos \omega t\) is
356069
Voltage and current in an \(ac\) circuit are given by \(V = 5\sin \left( {100\pi t - \frac{\pi }{6}} \right)\) and \(I = 4\sin \left( {100\pi t + \frac{\pi }{6}} \right)\)
356070
The variation of the instantaneous current \((I)\) and the instantaneous \(emf\) \((V)\) in a circuit is as shown in figurre. Which of the following statement is correct.
1 The voltage lag behind the current by \(\pi / 2\)
2 The voltage leads the current by \(\pi / 2\)
3 The voltage and the current are in phase
4 The voltage leads the current by \(\pi\)
Explanation:
At \(t=0\), phase of the voltage is zero, while phase of the current is \(\dfrac{-\pi}{2}\), i.e., voltage leads by \(\dfrac{\pi}{2}\). So, correct option is (2).
356067
The instantaneous value of current and voltage in an \(A C\) circuit are given by \(I = 6\sin (100\pi t + \pi /4){\rm{ and}}\) \(V = 5\sin (100\pi t - \pi {\rm{/}}4){\rm{ then}}\)
1 voltage leads the current by \(45^{\circ}\)
2 current leads the voltage by \(45^{\circ}\)
3 voltage leads the current by \(90^{\circ}\)
4 current leads the voltage by \(90^{\circ}\)
Explanation:
The phase difference between instantaneous values of current and voltage is \(\dfrac{\pi}{4}-\left(\dfrac{-\pi}{4}\right)=\dfrac{\pi}{2}\) \( \Rightarrow \) the current leads the voltage by \(90^{\circ}\).
MHTCET - 2022
PHXII07:ALTERNATING CURRENT
356068
The intial phase angle for \(i = 10\sin \omega t + 8\cos \omega t\) is
356069
Voltage and current in an \(ac\) circuit are given by \(V = 5\sin \left( {100\pi t - \frac{\pi }{6}} \right)\) and \(I = 4\sin \left( {100\pi t + \frac{\pi }{6}} \right)\)
356070
The variation of the instantaneous current \((I)\) and the instantaneous \(emf\) \((V)\) in a circuit is as shown in figurre. Which of the following statement is correct.
1 The voltage lag behind the current by \(\pi / 2\)
2 The voltage leads the current by \(\pi / 2\)
3 The voltage and the current are in phase
4 The voltage leads the current by \(\pi\)
Explanation:
At \(t=0\), phase of the voltage is zero, while phase of the current is \(\dfrac{-\pi}{2}\), i.e., voltage leads by \(\dfrac{\pi}{2}\). So, correct option is (2).
