(a)
The current in each branch of the circuit.
(a)
Answer to Problem 23P
The current in right hand branch is
Explanation of Solution
Write the expression based on junction rule.
Here,
Write the expression to obtain the loop rule.
Here,
The flow of current in the circuit is as shown in the figure below.
Figure-(1)
Here,
Writer the equation of Kirchhoff’s voltage rule in loop
Writer the equation of Kirchhoff’s voltage rule in loop
Write the expression based on junction rule at node
Conclusion:
Substitute
Substitute
Solve equation (IV) and (V).
Substitute
Substitute
Therefore, the current in right hand branch is
(b)
The energy delivered by each battery.
(b)
Answer to Problem 23P
The energy delivered by
Explanation of Solution
Write the expression to obtain power.
Here,
Write the expression to obtain energy.
Here,
Substitute
Conclusion:
Substitute
Here,
Substitute
Here,
Therefore, the energy delivered by
(c)
The energy delivered to each resistor.
(c)
Answer to Problem 23P
The energy delivered to the
Explanation of Solution
Write the expression of power in terms of current and resistance.
Here,
Substitute
Conclusion:
Substitute
Here,
Substitute
Here,
Substitute
Here,
Substitute
Here,
Substitute
Here,
Therefore, the energy delivered to the
(d)
The type of energy storage transformation that produced in the operation of circuit.
(d)
Explanation of Solution
The chemical energy of the
(e)
The total amount of energy transformed into internal energy in the resistor.
(e)
Answer to Problem 23P
The total amount of energy transformed into internal energy in the resistor is
Explanation of Solution
Write the expression to obtain the total amount of energy transformed into internal energy in the resistor.
Here,
Conclusion:
Substitute
Therefore, the total amount of energy transformed into internal energy in the resistor is
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Chapter 28 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
- The circuit shown in Figure P27.17 is connected for 2.00 min. (a) Determine the current in each branch of the circuit. (b) Find the energy delivered by each battery. (c) Find the energy delivered to each resistor. (d) Identify the type of energy storage transformation that occurs in the operation of the circuit. (e) Find the total amount of energy transformed into internal energy in the resistors.arrow_forward(a) Can the circuit shown in Figure P18.29 be reduced to a single resistor connected to the batteries? Explain. (b) Find the magnitude of the current and its direction in each resistor. Figure P18.29arrow_forwardConsider a series RC circuit as in Figure P28.38 for which R = 1.00 M, C = 5.00 F, and = 30.0 V. Find (a) the time constant of the circuit and (b) the maximum charge on the capacitor after the switch is thrown closed. (c) Find the current in the resistor 10.0 s after the switch is closed.arrow_forward
- The circuit shown in Figure P21.47 is connected for 2.00 min. (a) Determine the current in each branch of the circuit. (b) Find the energy delivered by each battery. (c) Find the energy delivered to each resistor. (d) Identify the type of energy storage transformation that occurs in the operation of the circuit. (e) Find the total amount of energy transformed into internal energy in the resistors. Figure P21.47 Problems 47 and 48.arrow_forwardFor the circuit shown in Figure P28.55. the ideal voltmeter reads 6.00 V and the ideal ammeter reads 3.00-k. Find (a) the value of K, (b) the emf of the battery, and (c) the voltage across the 3.00-kft resistor.arrow_forwardIn the circuit of Figure P21.51, determine (a) the current in each resistor and (b) the potential difference across the 200- resistor. Figure P21.51arrow_forward
- Lightbulb A is marked 25.0 W 120. V, and lightbulb B is marked 100. W 120. V. These labels mean that each lightbulb has its respective power delivered to it when it is connected to a constant 120.-V source. (a) Find the resistance of each lightbulb. (b) During what time interval does 1.00 C pass into lightbulb A? (c) Is this charge different upon its exit versus its entry into the lightbulb? Explain. (d) In what time interval does 1.00 J pass into lightbulb A? (e) By what mechanisms does this energy enter and exit the lightbulb? Explain. (f) Find the cost of running lightbulb A continuously for 30.0 days, assuming the electric company sells its product at 0.110 per kWh.arrow_forwardFour resistors are connected to a battery as shown in Figure P21.40. The current in the battery is I, the battery emf is , and the resistor values are R1 = R, R2 = 2R, R3 = 4R, and R4 = 3R. (a) Rank the resistors according to the potential difference across them, from largest to smallest. Note any cases of equal potential differences. (b) Determine the potential difference across each resistor in terms of . (c) Rank the resistors according to the current in them, from largest to smallest. Note any cases of equal currents. (d) Determine the current in each resistor in terms of I. (e) If R3 is increased, what happens to the current in each of the resistors? (f) In the limit that R3 , what are the new values of the current in each resistor in terms of I, the original current in the battery? Figure P21.40arrow_forwardFor the network in Figure P18.60, show that the resistance between points a and b is Rab=2717. (Hint: Connect a battery with emf across points a and b and determine /I, where I is the current in the battery.) Figure P18.60arrow_forward
- Consider the circuit shown in Figure P21.39. Find (a) the current in the 20.0- resistor and (b) the potential difference between points a and b. Figure P21.39arrow_forwardAn automobile starter motor has an equivalent resistance of 0.0500 and is supplied by a 12.0-V battery with a 0.0100- internal resistance, (a) What is thecurrent to the motor? (b) What voltage is applied to it? (c) What power is supplied to the motor? (d) Repeat these calculations for when the battery connections are corroded and add 0.0900 to the circuit. (Significant problems are caused by even small amounts of unwanted resistance in low-voltage, high-current applications.)arrow_forwardFigure P18.19 shows a Wheatstone bridge, a circuit used to precisely measure an unknown resistance R by varying Rvar until the ammeter reads zero current and the bridge is said to be balanced. If the bridge is balanced with Rvar = 9.00 , find (a) the value of the unknown resistance Rand (b) the current in the 1.00 resistor. (Hint: With the bridge balanced, the wire through the ammeter can effectively be removed from the circuit, leaving two pairs of resistors in parallel.) Figure Pl8.19arrow_forward
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