(III) You are designing a wire resistance heater to heat an enclosed volume of gas. For the apparatus to function properly, this heater must transfer heat to the gas at a very constant rate. While in operation, the resistance of the heater will always be close to the value R = R 0 , but may fluctuate slightly causing its resistance to vary a small amount ∆ R (≪ R 0 ). To maintain the heater at constant power, you design the circuit shown in Fig. 26–44, which includes two resistors, each of resistance r . Determine the value for r so that the heater power will remain constant even if its resistance R fluctuates by a small amount. [ Hint: If ∆ R ≪ R 0 , then Δ P ≈ Δ R d P d R | R − R 0 .]
(III) You are designing a wire resistance heater to heat an enclosed volume of gas. For the apparatus to function properly, this heater must transfer heat to the gas at a very constant rate. While in operation, the resistance of the heater will always be close to the value R = R 0 , but may fluctuate slightly causing its resistance to vary a small amount ∆ R (≪ R 0 ). To maintain the heater at constant power, you design the circuit shown in Fig. 26–44, which includes two resistors, each of resistance r . Determine the value for r so that the heater power will remain constant even if its resistance R fluctuates by a small amount. [ Hint: If ∆ R ≪ R 0 , then Δ P ≈ Δ R d P d R | R − R 0 .]
(III) You are designing a wire resistance heater to heat an enclosed volume of gas. For the apparatus to function properly, this heater must transfer heat to the gas at a very constant rate. While in operation, the resistance of the heater will always be close to the value R = R0, but may fluctuate slightly causing its resistance to vary a small amount ∆R (≪ R0). To maintain the heater at constant power, you design the circuit shown in Fig. 26–44, which includes two resistors, each of resistance r. Determine the value for r so that the heater power will remain constant even if its resistance R fluctuates by a small amount. [Hint: If ∆R ≪ R0, then
Δ
P
≈
Δ
R
d
P
d
R
|
R
−
R
0
.]
[3] Consider the following circuit shown below which has an EMF, ɛ, that consists of
3 identical 1.50 volt batteries, each with an internal resistance of 3.00 2, that are
connected in parallel.
R2 =200. s
%3D
(a) Calculate the total resistance (in ohms)
of the entire circuit (remember to include
the small internal resistances of the
3 batteries)
10.
R, =
R3:300.a
R4 = 300.
ri
each
r 3.00e
please answer part DEF only
(b) Find the total current, I (in amperes) that flows through this circuit.
The circuit shown below can be used to measure the resistance of a platinum resistance thermometer (PRT). AB is a uniform resistance wire of length 1.00 m and C is a sliding contact on this wire. A standard resistor R is included in the circuit. The position of C is adjusted until the voltmeter V reads zero.
(ii) The PRT consists of 9.00 m of wire of diameter 8.4 × 10-2 mm. The voltmeter reads 0 V when l1 = 0.422 m. If the standard resistor, R, has a resistance of 220 Ω, what is the resistivity of platinum? Show that you have checked that the value for the resistivity and its unit are sensible.
(e) In electrical circuits, Ohm's law can be mathematically modeled as I = V/R,
whereas I is the current through the resistor, V is the voltage across the resistor,
and R is the resistance of the resistor. A temperature-dependent resistor that has a
resistance, R(T) = 107², was used in this specific circuit. Assuming a constant
voltage of 10V, determine l's rate of change with time (in Amperes per minute) at
25°C if the temperature is increasing at a constant rate of 5 Kelvin per minute. Ans:
-0.4 A/min
Chapter 26 Solutions
Physics for Scientists and Engineers with Modern Physics
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How To Solve Any Resistors In Series and Parallel Combination Circuit Problems in Physics; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=eFlJy0cPbsY;License: Standard YouTube License, CC-BY