Phasor Diagrams in AC Circuits

Q. What is the phase difference between $I$ and $E$ if $E=E_0\sin \left(\omega t\right)$ and $I=I_0\cos (\omega t+\frac{\pi }{3})$?

1. $\frac{\pi }{3}$
2. $\frac{\pi }{6}$
3. $\frac{\pi }{2}$
4. $\frac{5\pi }{6}$

Q. The figure below shows a source of alternating voltage connected to a capacitor and a resistor. Which of the following phasor diagrams correctly describe the phase relationship between $I_c$ (current between the source and the capacitor) and $I_R$ (the current in the resistor)?

1. 
2. 
3. 
4. 

Q. An alternating emf is applied across a parallel combination of a resistance $R$, capacitance $C$ and an inductance $L$. If $I_R,I_L,I_C$ are the currents through $R,L$ and $C$ respectively, then the diagram which correctly represents, the phase relationship among $I_R,I_L,I_C$ and source emf $E$, is given by

1. 
2. 
3. 
4. 

Q. The variation of the instantaneous current (I) and the instantaneous emf (E) in a circuit is as shown in fig. Which of the following statements is correct

1. The voltage lags behind the current by $\frac{\Pi }{2}$
2. The voltage leads the current by $\frac{\Pi }{2}$
3. The voltage and the current are in phase
4. The voltage leads the current by $\Pi$

Q. The figure below shows a source of alternating voltage connected to a capacitor and a resistor. Which of the following phasor diagrams correctly describe the phase relationship between $I_c$ (current between the source and the capacitor) and $I_R$ (the current in the resistor)?

1. 
2. 
3. 
4. 

Q. The vector diagram of current and voltage for a circuit is as shown. The components of the circuit will be

1. LCR
2. LR
3. LCR or LR
4. LC

Q. The figure below shows a source of alternating voltage connected to a capacitor and a resistor. Which of the following phasor diagrams correctly describe the phase relationship between $I_c$ (current between the source and the capacitor) and $I_R$ (the current in the resistor)?

1. 
2. 
3. 
4.