Electric Circuits Answers

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3. A circuit contains four 15-ohm resistors connected in series across a 120 volt source.

   a) What is the effective resistance of the circuit?

   b) What current will flow in the circuit?

   c) What will be the voltage across each resistor

What is the relationship between the electric field E and the electric potential V between the plates of the capacitor?j

 Show all the solutions. Round off answers to two decimal places. Be consistent with the units.

4. A 40-ohm resistor is to be wound from 0.0001 cm² platinum wire. How many meters of wire are needed? (Refer to the table of resistivities under the theory for the value of resistivity of  platinum)

5. A silver wire 2 m long is to have a resistance of 0.5 ohm. What should be its

 cross-sectional area? (Refer to the table of resistivities under the theory for the value of resistivity of silver)

Show all the solutions. Round off answers to two decimal places.

3. High-voltage power lines are familiar sights throughout the country. The aluminum wire used for some of these lines has a diameter of 2.5 cm. What is the resistance of 10,000 m of this wire? Resistivity = 2.83 x 10^-8 ohm-m.

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2. a)  Considering the two wires of the same material and cross-sectional area, how does the resistance vary with the length?

  b)  Considering the two wires of the same material and length, how does the resistance vary with the cross-sectional area?

Show all the solutions. Round off answers to two decimal places. Be consistent with the units.

1, Given with the accepted value of the resistivity for copper, solve for the percentage error.  The average resistivity is the experimental value.

         ρ (copper) = 1.72 x 10^-6 Ω-cm

A 1.5 volt battery is connected to a 10 ohm resistor.

a. What current passes through the resistor?

b. What is the power developed by this resistor?

Find the voltage across a resistor if the current flowing through it is 5A. And also determine the power and energy consumed by the resistor if the current is allowed to pass through the resistor for 20 min. 

Q1 = 7.5 uC, Q2= 7.2 uc , Q3= -12.9uC ,

The component of the resultant electric force on Q3 on the X-axis is

q1 = 3.1 uc ,q2=11.4 uc ,q3= - 2.8 uc , d1= 4.9 cm ,

 d2=8.1 cm ,the net electric force on q1