Electrical Circuit Analysis Examples and Solutions
Example 28.1 Terminal Voltage of a Battery
A battery has an emf of 12V and an internal resistance of 0.05Ω. Its terminals are
connected to a load resistance of 3Ω. Find:
a)
The current in the circuit and the terminal voltage
b)
The power dissipated in the load, the internal resistance, and the total power
delivered by the battery
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(c) Calculate the equivalent resistance of the circuit.
EX 6. Three resistors are connected in parallel as shown in Figure 28.11a. A potential
difference of 18.0 V is maintained between points
a and b.
(A)
Find the current in each resistor.
(B)
Calculate the power delivered to each resistor and the
total power delivered to the
combination of resistors.
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We arbitrarily choose the directions of the currents as labeled
in Figure
Substituting Equation (1) into Equation (2) gives
Dividing each term in Equation (3) by 2 and rearranging gives
Subtracting Equation (5) from Equation (4) eliminates
I
2
,
giving
The fact that
I
2
and I
3
are both negative
indicates only that
the currents are opposite
the direction we chose for them. However,
the numerical values are correct.
EX 10
EX 10
Explore various examples of electrical circuit analysis involving batteries, resistors, and parallel connections. Learn how to calculate current, voltage, power dissipation, and equivalent resistance in different circuit configurations. Detailed solutions provided for better understanding.
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Presentation Transcript
Example 28.1 Terminal Voltage of a Battery A battery has an emf of 12V and an internal resistance of 0.05 . Its terminals are connected to a load resistance of 3 . Find: a) The current in the circuit and the terminal voltage b) The power dissipated in the load, the internal resistance, and the total power delivered by the battery
Three resistors are connected in parallel as shown in Figure 28.7. A potential difference of 18 V is maintained between points a and b. (a) Find the current in each resistor. (b) Calculate the power delivered to each resistor and the total power delivered to the combination of resistors. 3
EX 6. Three resistors are connected in parallel as shown in Figure 28.11a. A potential difference of 18.0 V is maintained between points a and b. (A) Find the current in each resistor.
(B) Calculate the power delivered to each resistor and the total power delivered to the combination of resistors.
Find the currents I1 , I2 , and I3 in the circuit We arbitrarily choose the directions of the currents as labeled in Figure Substituting Equation (1) into Equation (2) gives Dividing each term in Equation (3) by 2 and rearranging gives Subtracting Equation (5) from Equation (4) eliminates I 2 , giving The fact that I 2 and I 3 are both negative indicates only that the currents are opposite the direction we chose for them. However, the numerical values are correct.
