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Electric Circuits
Introduction to Electric Circuits
130 SOLVED PROBLEMS
Question: 2.5
A copper rod, 20 cm long and 0.75 cm in diameter, has a resistance of 80 μΩ. Calculate the resistance of 100 m of wire, 0.2 mm in diameter drawn out from this rod. ...
Verified Answer:
From Equation (2.4), the resistance of the rod is ...
Question: 7.14
Determine the currents supplied by the voltage sources Vs1 and Vs2 in the circuit of Fig. 7.11. ...
Verified Answer:
There are three meshes identified by the currents ...
Question: 7.15
Determine the current through the resistor R2 in the circuit of Fig. 7.12. ...
Verified Answer:
There are two meshes whose currents are
I_{...
Question: 7.16
Determine (1) the mesh current I2 and (2) the voltage at node X in the circuit of Fig. 7.14. ...
Verified Answer:
There are three meshes in total but since there is...
Question: 1.5
The force between two charges q1 and q2 separated by a distance d in a vacuum is given by F = q1q2/4πε0 d², where ε0 is a constant whose dimensions are [M L^-3 T^4 A²]. Check the dimensional balance of this equation. ...
Verified Answer:
The left-hand side of the equation is simply the f...
Question: 1.1
Obtain the dimensions of (1) acceleration, (2) force, (3) torque. ...
Verified Answer:
Acceleration is the rate of change of velocity, so...
Question: 1.6
The energy in joules stored in a capacitor is given by the expression (C^aV^b)/2, where C is the capacitance of the capacitor in farads and V is the potential difference in volts maintained across its plates. Use dimensional analysis to determine the values of a and b. ...
Verified Answer:
We have that
W= (C^{a}V^{b})/2
In d...
Question: 1.4
Obtain the dimensions of (1) resistance, (2) inductance, (3) capacitance. ...
Verified Answer:
1 Resistance is electric potential difference divi...
Question: 1.3
Find the dimensions of (1) electric charge, (2) electric potential difference. ...
Verified Answer:
1 Electric charge is electric current multiplied ...
Question: 1.10
Express (1) 10 mV in MV, (2) 5 km in mm, (3) 0.1 IμF in pF, (4) 50 MW in GW. ...
Verified Answer:
1 To convert from millivolts to volts we multiply...
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