(a)
The potential difference across each resistor in terms of
(a)
Answer to Problem 16P
The potential difference across resistor
Explanation of Solution
Consider the circuit diagram as shown below.
Figure-(1)
Write the expression to calculate the resistance in loop 1.
Here,
Substitute
Write the expression to calculate the equivalent resistance in loop 1.
Here,
Substitute
Write the expression to calculate the equivalent current of the circuit.
Here,
Substitute
Write the expression to calculate the emf of the battery.
Here,
Substitute
Write the expression to calculate the potential drop across resistor
Here,
Substitute
Write the expression to calculate the potential drop across
Here,
Substitute
Since resistors
Write the expression to calculate the potential drop across resistor
Here,
Substitute
Write the expression to calculate the potential drop across resistor
Here,
Conclusion:
Substitute
Therefore, the potential difference across resistor
(b)
The current in each resistor in terms of
(b)
Answer to Problem 16P
The current through resistor
Explanation of Solution
Write the expression to calculate the current through resistor
Here,
Substitute
Write the expression to calculate the current through resistor
Here
Substitute
Write the expression to calculate the current through resistor
Here,
Substitute
Write the expression to calculate the current through resistor
Here,
Conclusion:
Substitute
Therefore, the current through resistor
(c)
The current in each of the resistors if
(c)
Answer to Problem 16P
Current through resistors
Explanation of Solution
If the resistance
As a result the current through resistor
(d)
The new values of the current in each resistor in terms of
(d)
Answer to Problem 16P
The current through resistors
Explanation of Solution
Write the expression to calculate the equivalent resistance.
Substitute
Write the expression to calculate the new current.
Here,
Substitute
Since, resistors
Write the expression to calculate the current across resistor
Conclusion:
Substitute the value in the above expression to calculate
Therefore, the current through resistors
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Chapter 28 Solutions
Physics: for Science.. With Modern. -Update (Looseleaf)
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- You measure the current through a 24.1 Ω24.1 Ω resistor to be 683 mA683 mA. What is the potential difference across the contacts of the resistor?arrow_forwardAn aluminum wire with a diameter of 0.100 mm has a uniform electric field of 0.200 V/m imposed along its entire length. The temperature of the wire is 50.0°C. Assume one free electron per atom. (a) Use the informa- tion in Table 27.2 and determine the resistivity. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a 2.00-m length of the wire to produce the stated electric field?arrow_forward(a) Find the equivalentresistance between pointsa and b in Figure P18.7.(b) Calculate the currentin each resistor if a potentialdifference of 34.0 V isapplied between points aand b.arrow_forward
- Four 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_forwardFigure P29.45 shows five resistors connected between terminals a and b. a. What is the equivalent resistance of this combination of resistors? b. What is the current through each resistor if a 24.0-V battery is connected across the terminals?arrow_forward
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