A capacitor (C) is placed in series in a circuit with a power supply and a resistor (R).A sine wave voltage input is supplied and the voltage across the resistor (proportional to the current) and across both the capacitor and resistor (voltage) observed on an oscilloscope.A student determines the capacitance by measuring the period of the waveforms and time difference between the waveforms for two different input frequencies on the function generator. The values obtained are:C1 = 0.05 µFC2= 0.12 µFAn average value of the capacitance (C) can now be found. Determine the uncertainty in this average value. Give your answer in SI units to two significant figures.

A capacitor (C) is placed in series in a circuit with a power supply and a resistor (R).A sin wave voltage input is supplied and the voltage across the resistor (proportional to the current) and across both the capacitor and resistor (voltage) observed on an oscilloscope.The period (T) and the time difference (to) between the signals is measured and the phase difference φ is calculated.A student obtains values of:T = 166 µsφ = 43 oR = 499 ΩDetermine the value of the capacitance in the circuit, C. (Ignore the negative sign in the equation in the lab manual.) Give your answer in SI units to three significant figures.Entering numbers in scientific notation: Example: 1.45 x 10-9 should be entered as 1.45E-9

A capacitor (with capacitance C) is placed in series in a circuit with a power supply and a resistor. The power supply has some internal resistance R1 = 0.2 kΩ and the resistor has value R2 = 0.7 kΩ.A square wave voltage input is supplied, with the voltage switching between constant positive and negative levels. The behaviour of the current through the circuit is observed on an oscilloscope. It is seen to drop exponentially with time after each voltage switch. The half time is measured to be t1/2= 30 µs.Calculate the value of the capacitor C. Give your answer to 3 significant figures.Note you need to use the total resistance in the circuit R = R1 + R2 in your calculation.Entering numbers in scientific notation: Example: 1.45 x 10-9 should be entered as 1.45E-9

In A.C. circuit in which inductance and capacitance are joined in series. Current is found to be maximum when the value of inductance is 0.5H and the value of capacitance is 8μF. The angular frequency of applied alternating voltage will be:400 Hz5000 Hz2×105 Hz500 Hz

Laboratory experiments with series RLC circuits require some care, as these circuits can produce large voltages at resonance. Suppose you have a 1.00-H inductor (not difficult to obtain) and a variety of resistors and capacitors. Design a series RLC circuit that will resonate at a frequency (not an angular frequency) of 60.00 Hz and will produce at resonance a magnification of the voltage across the capacitor or the inductor by a factor of 10.9 times the input voltage or the voltage across the resistor. (a) What is the capacitance required for this circuit? (You may enter your calculation using scientific notation.)  F (b) And what is the resistance required for this circuit?  Ω

Q.30. Read the following paragraph and answer the questions that follow. A capacitor is a system of two conductors separated by an insulator. The two conductors have equal and opposite charges with a potential difference between them. The capacitance of a capacitor depends on the geometrical configuration (shape, size and separation) of the system and also on the nature of the insulator separating the two conductors. They are used to store charges. Like resistors capacitors can be arranged in series or parallel or a combination of both to obtain desired value of capacitance. (i) Find the equivalent capacitance between points A and B in the given diagram. (ii) A dielectric slab is inserted between the plates of a parallel plate capacitor. The electric field between the plates decreases. Explain. (iii) A capacitor A of capacitance C having charge Q is connected across another uncharged capacitor B of capacitance 2C. Find an expression for (a) the potential difference across the combination and (b) the charge lost by capacitor A. Or (iii) Two slabs of dielectric constants 2K and K fill the space between the plates of a parallel plate capacitor of plate area A and plate separation as shown in figure. Find an expression for capacitance of the system. Q.31 An interesting characteristic of the series LCR circuit is the phenomenon of resonance. The phenomenon of resonance is common among systems that have a tendency to oscillate at a particular frequency. This frequency is called the system's natural frequency. If such a system is driven by an energy source of a frequency that is near the natural frequency, the amplitude of the oscillation is found to be large. Resonant circuits have a variety of applications, for example, in the tuning mechanism of a radio or a TV set. The antenna of a radio accepts signal from many broadcasting stations. The signals picked up in the antenna acts as a source in the tuning circuit of the radio, so the circuit can be driven at many frequencies. But to hear one particular radio station, we tune the radio, so that resonant frequency of the circuit becomes nearly equal to the frequency of radio signal received.  Now, answer the following questions:- (1) If the value of 'C' is decreased in a series LCR circuit, then resonant frequency (a) increases. (b) decreases. (c) is not affected. (d) is reduced to zero. (ii) Power factor is one for (a) pure inductor (b) pure capacitor (c) pure resistor (d) either an inductor or a capacitor (iii) As X_{L} = X_{C} in a series LCR circuit, the impedance (a) purely resistive (b) purely inductive (c) purely capacitive (d) capacitive or inductive (iv) Power factor of an inductive series LCR circuit can be improved by using (a) a capacitor in series. (b) a capacitor in parallel with the capacitor of LCR circuit. (c) a capacitor in parallel with the series LCR circuit. (d) an inductor in series with the series LCR circuit. Or (iv) Current in the circuit is wattless if (a) inductance in the circ