1. Determine the unknown voltages in the networks of Figure 1–1.
Figure 1–1
2. Solve for the unknown voltages in the circuit of Figure 1–2.
Figure 1–2
3. Determine the unknown resistance in each of the networks in Figure 1–3.
(a)
(b)
Figure 1–3
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4. For the circuits shown in Figure 1–4, determine the total resistance, RT, and the current, I.
2
(a)
(b)
Figure 1–4
5. The circuits of Figure 1–5 have the total resistance, RT, as shown. For each
of the circuits find the following:
a. The magnitude of current in the circuit.
b. The total power delivered by the voltage source.
c. The direction of current through each resistor in the circuit.
d. The value of the unknown resistance, R.
e. The voltage drop across each resistor.
f. The power dissipated by each resistor. Verify that the summation of
powers dissipated by the resistors is equal to the power delivered by the
voltage source.
(a)
(b)
Figure 1–5
6. For the circuit of Figure 1–6, find the following quantities:
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a. The circuit current.
b. The total resistance of the circuit.
c. The value of the unknown resistance, R.
d. The voltage drop across all resistors in the circuit.
e. The power dissipated by all resistors.
Figure 1–6
7. Refer to the circuit of Figure 1–7:
a. Find RT.
b. Solve for the current, I.
c. Determine the voltage drop across each resistor.
d. Verify Kirchhoff’s voltage law around the closed loop.
e. Find the power dissipated by each resistor.
f. Show that the power delivered by the voltage source is equal to the
summation of the powers dissipated by the resistors.
Figure 1–7
8. Use Kirchhoff’s current law to determine the magnitudes and directions of
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the indicated currents in each of the networks shown in Figure 1–8.
Figure 1–8
9. Refer to the network of Figure 1–9:
a. Use Kirchhoff’s current law to solve for the unknown currents, I1, I2, I3, and I4.
b. Calculate the voltage, V, across the network.
c. Determine the values of the unknown resistors, R1, R3, and R4.
Figure 1–9
10. For the networks of Figure 1–10, determine the value of the unknown resistance(s) to result in
the total resistances given.
Figure 1–10
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11. Determine the value of each unknown resistor in the network of Figure 1–11, so that the total
resistance is 100 kΩ.
Figure 1–11
12. Determine the total resistance of each network of Figure 1–12.
Figure 1–12
13. Refer to the circuit of Figure 1–13:
a. Determine the equivalent resistance, RT, of the circuit.
b. Solve for the current I.
c. Use the current divider rule to determine the current in each resistor.
d. Verify Kirchhoff’s current law at node a.
Figure 1–13
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14. Refer to the circuit of Figure 1–14:
a. Find the total resistance, RT, and solve for the current, I, through the
voltage source.
b. Find all of the unknown currents in the circuit.
c. Verify Kirchhoff’s current law at node a.
d. Determine the power dissipated by each resistor. Verify that the total
power dissipated by the resistors is equal to the power delivered by the
voltage source.
Figure 1–14
15. Write an expression for both RT1 and RT2 for the networks of Figure 1–15.
Figure 1–15
16. Determine the total resistance of each network in Figure 1–16.
Figure 1–16
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17. Refer to the circuit of Figure 1–17. Find the following quantities:
a. RT
b. IT, I1, I2, I3, and I4
c. Vab, and Vbc.
Figure 1–17
18. Refer to the circuit of Figure 1–18:
a. Find the currents I1, I2, I3, I4, I5, and I6.
b. Solve for the voltages Vab and Vcd.
c. Verify that the power delivered to the circuit is equal to the summation of
powers dissipated by the resistors.
Figure 1–18
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