Consider a semi infinite circuit like shown above. Magnitude of impedance of inductor and capacitor equal to R (i.e. ωL=1/ωC=R). Find the total impedance of the circuit!
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Showing posts with label electronic circuit. Show all posts
Showing posts with label electronic circuit. Show all posts
A complex circuit consists of some resistors. An ideal current source is then connected through two points at the circuit. Then an ideal voltmeter is connected to two nodes of a resistor in the circuit. Reading of the voltmeter is V.
Then the voltmeter is substituted with an ideal ammeter. The reading is I.
If the current source is then disconnected to the circuit and the ammeter is substituted with ohmmeter, prove that reading of the ohmmeter is V/I!
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By what percentage would the current I increase if switch S is closed?
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Consider 2 capacitors with same areas in series as shown in the picture. One of them is placed between the another one's plates. The wider capacitor have capacitance C and have distance twice of the narrower one.
Calculate the net capacitance of the circuit!
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Five capacitors are arranged in a circuit like shown above. Two of them have capacitance of C and are initially charged with charge Q on each capacitor. While the other have capacitance of 2C and are not charged.
Find the final charge Q' on the middle capacitor!
Two parallel-plate capacitors, A and B, have same area, but separation of plates in capacitor B is a half of A's. The capacitors are in parallel and connected to a voltage source with emf V. Then you insert capacitor B into capacitor A, like shown below.
Calculate the work done by you!
Assume capacitance of capacitor A is C and B is 2C. Ignore edge effect of capacitors.
(If you want a more challenging problem, assume the capacitor is in series, not in parallel)
A long solenoid with self-inductance L and radius r is connected to an AC voltage source with frequency ω and max voltage V. Then a thin cylindrical shell with the same length and the same cross-section area with the solenoid is inserted into middle of the solenoid without touching it. It has thickness δ (δ<<r) and resistivity ρ.
Ignore resistance of the solenoid. No current between the solenoid and the cylinder.
Proof that this system is equal to a system where the solenoid is in series with a resistor! Determine the resistance R of this resistor! Assume the system is in vacuum.
Also assume that magnetic field inside the solenoid and the cylinder is uniform and equals to magnetic field at the middle.
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