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. : "Current Electricity"

Current Electricity: DC Circuits


Q- For the network of Figure,

(a) determine the value of R for maximum power to R.

(b) Determine the maximum power to R.

Solution:

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Kirchoff's Law: Mesh Analysis

Q- Using mesh analysis determine the current through 5Ώ resistor and voltage V in the given network.

Solution:

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Kirchhoff's Law

Q- Find the mesh currents and voltage Vab for given network.

Solution:

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Kirchhoff's Law: Nodal Analysis

Q- Find current through all resistances in the given network.

Solution:

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Ohm's Law

Q- Find current through all resistances in the given network.

Solution:

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Resistance

(On request - Harsh)

Q- Find equivalent resistance between A and B.

Solution:

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Current Electricity

Q- In the circuit bellow

(a) Find the equivalent resistance of the circuit.

(b) Find the currents I1 and I2.

Solution:

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Current Electricity

Q1- A light-bulb designed to operate in a 120.0 V circuit has a resistance of 192 ohms. At what rate does the bulb use electric energy? 

Q2- What is the monthly energy cost of leaving a 60 W bulb on continuously if electricity costs Rs 3.0 per kWh?

Solution:

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Current electricity: Resistance and Capacitor

Q- Consider the circuit bellow remains connected for long time.

(a) Calculate the voltage across the capacitor.  

(b) Calculate the current through the resistances.

(c) Calculate the charge on the capacitor.

Solution:

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Charging of a capacitor

Q- A capacitor in an RC circuit is charged to 60.0% of its maximum value in 0.900 s. What is the time constant of the circuit?

Solution:

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Current electricity: Resistance, Drift speed

Q- A solid cube of silver (density = 10.5 g/ cm3) has a mass of 90.0 g.

(a) What is the resistance between opposite faces of the cube?

(b) Assuming each silver atom contributes one conduction electron, find the average drift speed of electrons when a potential difference of 1.00*1O-5V is applied t…

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Potential Divider

Q- A 20V battery has an internal resistance r = 2 ohms. Design a voltage divider supplying 5V (Open circuit) from the end-points of resistor R2 = 10 ohms. Find the load current when RL = 15 ohms is connected to the R2 of the divider and the voltage under load.

Solution:

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Resistance -series and parallel

Q- Two resistors connected in series have an equivalent resistance of 690 W. When they are connected in parallel, their equivalent resistance is 150 W. Find the resistance of each resistor.

Solution:

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Current in lightning

(On request - Kylie)

Q- The potential difference between a storm cloud and the ground is 100 million volts. A charge of 2 coulomb flashes in a lightning bolt from cloud to earth. How much current is in the lightning flash, if it lasted for 0.1 second?

Solution:

The current is the rate of flow of…

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Potentiometer- Internal resistance

Q- The circuit below shows a circuit designed to measure the internal resistance ‘r’ of a battery. Resistor R is 2Ω and AB is the potentiometer wire. With the switch S open a balancing length l1 = 55.2cm is obtained. When switch S is closed the balancing length becomes l2 = 53.2cm. Calculate th…

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Network (Resistances)

Q- Consider the circuit below.

a) Find the equivalent resistance of the combination.

b) If a 10V potential difference (PD) is applied across the points A and B, find the PD across the 4Ω resistor and current in it.

Solution:

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Kirchhoff's Law

Q. Consider the circuit below.

a) Reduce the circuit to a two loop circuit and redraw the circuit showing the directions of the currents I1, I2 and I3. (Take I2 to flow through the central section of the circuit).

b) Using two clockwise traverse loops for the left and right sections of the circu…

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Current Electricity

Q- In the circuit below

a) Find the current in the 4Ω resistor.

b) What is the power dissipated in this resistor?

Solution:

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Kirchhoff's Law

Q- Consider the circuit give bellow -

a) Neglecting the internal resistances of the batteries, find the current in the circuit.

b) What power is delivered to each of the resistors?

c) What power is delivered by the 12V battery?

d)What power is delivered by 6V battery?

Solution:

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Current Electricity

Q- A 2.8 kΩ and a 2.1 kΩ resistor are connected in parallel; this combination is connected in series to a 1.8 kΩ resistor. If each resistor is rated at 0.50 W, what is the maximum voltage that can be applied across the whole network without damaging resistors?

Solution:

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