The total impedance of a circuit decreases when a capacitor is added in series with L and R. Explain why?

The impedance of LCR circuit increases with frequency when

Obtain an expression for impedance of resistor, pure inductor and capacitor connected in series across alternating e.m.f. State formula for phase difference.

Find the impedance of a LR circuit with R = 50 Omega in series with an inductive reactance of 30 Omega .

Find the current in a circuit consisting of a coil and a capacitor in series with an A.C. source of 110 V (r.m.s.), 60 Hz. The inductance of the coil is 0.80 H and its resistance is 50 Omega . The capacitance of the capacitor is 8 muF .

An a.c. e.m.f. of peak value 240 V and frequency 50 Hz is connected to a circuit with R = 12 Omega , L = 2.5 H and a capacitor all in series. Find the capacitance for the current in the circuit to be maximum. Find the maximum current.

Find the impedance of the circuit containing an inductance of 2 henry, a capacitance of 6 mu F and a resistance of 100 Omega connected in series with an a.c. source of frequency 50 Hz. By what angle will the current lead or lag the applied e.m.f. in the circuit ?

The value of impedance in parallel LC circuit at resonance is (assuming inductor and capacitor to be ideal)

Answer the following questions: When a scooter and a truck collide, the scooter is thrown away. Explain why.

ln a series LR circuit X_L = R and power factor of the circuit is P_1 . When capacitor with capacitance C such that X_L = X_C is p ut in series the power factor becomes P_2. Calculate P_1//P_2 .

Write the equation for impedance of series LCR circuit. Hence discuss the condition for resonance.