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 = 0.4 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= 36 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

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 (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 325-Ω resistor is connected in series with a 4.87-μF capacitor and a source of time-varying emf providing 79.5 V. (a) At what frequency will the potential drop across the capacitor equal that across the resistor?  Hz (b) What is the current through the circuit when this occurs?  A

A half-wave rectifier circuit operates from a supply of 230 V (r.m.s.) at 50 Hz. The load consists of a 100 resistor in parallel with a capacitor of 1000 F. Neglecting the resistance of the rectifier element calculatethe mean output voltage and the r.m.s. value of the ripple voltage.

A RC series circuit of R=15Ω and C=10μF is connected to 20 volt DC supply for very long time. Then capacitor is disconnected from circuit and connected to inductor of 10mH. Find amplitude of current.