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Show mathematically that in an a.c. circ...

Show mathematically that in an a.c. circuit containing only inductance, the current lags behind the e.m.f. by a phase of `pi/2`.
An a.c. voltage `E=E_0 sin omegat` is applied across an inductor L. Obtain an expression for current I.

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Show mathematically that in an a.c. circuit only containing capacitance, the current leads e.m.f by a phase angle pi/2 .

An a.c. voltage E = E_0 sin omegat is applied across an inductance L. Obtain an expression for the current in the circuit and hence obtain inductive reactance of the circuit .

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MODERN PUBLICATION-ALTERNATING CURRENTS-EXERCISE
  1. Define root mean square value of an alternating current.

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  2. An alternating e.m.f. is supplied to a pure resistance investigate the...

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  3. Show mathematically that in an a.c. circuit containing only inductance...

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  4. Show that in an inductane, the voltage leads the current by pi//2.

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  5. Derive an expression for impedance of an a.c. circuit with an induct L...

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  6. An alternating e.m.f. is supplied to a pure inductor investigate the p...

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  7. An a.c. voltage E = E0 sin omegatis applied across an inductance L. O...

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  8. An a.c. voltage E = E0 sin omegatis applied across an inductance L. O...

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  9. An alternating e.m.f is applied across a capacitor. Show that current ...

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  10. Finda phase relation between current and voltage in an a.c. circuit co...

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  11. An alternate e.m.f. is applied to pure capacitance. Investigate the ph...

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  12. Derive the expression for the impedance of an a.c. circuit with an ind...

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  13. An alternating source of e.m.f is applied to an inductor and resistor ...

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  14. Prove that high frequency a.c. cannot pass through a pure inductor, bu...

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  15. Prove that high frequency a.c. cannot pass through a pure inductor, bu...

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  16. Derive the expression for the impedance of an a.c. circuit with a capa...

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  17. An a.c. source generating a voltage E = E0 sin omegat is connected to ...

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  18. An alternating source of e.m.f is applied to an inductor and resistor ...

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  19. What do you mean by inductive reactance, capacitive reactance and impe...

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  20. What is the impedance of a circuit ?

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