The Wheatstone Bridge. The circuit shown in Fig. P26.74 , called a Wheatstone bridge , is used to determine the value of an unknown resistor X by comparison with three resistors M , N , and P whose resistances can be varied. For each setting, the resistance of each resistor is precisely known. With switches S 1 and S 2 closed, these resistors are varied until the current in the galvanometer G is zero; the bridge is then said to be balanced . (a) Show that under this condition the unknown resistance is given by X = MP / N . (This method permits very high precision in comparing resistors.) (b) If galvanometer G shows zero deflection when M = 850.0 Ω, N = 15.00 Ω, and P = 33.48 Ω, what is the unknown resistance X ? Figure P26.74
The Wheatstone Bridge. The circuit shown in Fig. P26.74 , called a Wheatstone bridge , is used to determine the value of an unknown resistor X by comparison with three resistors M , N , and P whose resistances can be varied. For each setting, the resistance of each resistor is precisely known. With switches S 1 and S 2 closed, these resistors are varied until the current in the galvanometer G is zero; the bridge is then said to be balanced . (a) Show that under this condition the unknown resistance is given by X = MP / N . (This method permits very high precision in comparing resistors.) (b) If galvanometer G shows zero deflection when M = 850.0 Ω, N = 15.00 Ω, and P = 33.48 Ω, what is the unknown resistance X ? Figure P26.74
The Wheatstone Bridge. The circuit shown in Fig. P26.74, called a Wheatstone bridge, is used to determine the value of an unknown resistor X by comparison with three resistors M, N, and P whose resistances can be varied. For each setting, the resistance of each resistor is precisely known. With switches S1 and S2 closed, these resistors are varied until the current in the galvanometer G is zero; the bridge is then said to be balanced. (a) Show that under this condition the unknown resistance is given by X = MP/N. (This method permits very high precision in comparing resistors.) (b) If galvanometer G shows zero deflection when M = 850.0 Ω, N = 15.00 Ω, and P = 33.48 Ω, what is the unknown resistance X?
(a)Given a 52.0 V battery and 18.0 Ω (R1) and 88.0 Ω (R2) resistors, find the current (in A) and power (in W) for the resistor R2 when both are connected in series.
I88.0 Ω= A
P88.0 Ω= W
(b) Find the current (in A) and power (in W) for the resistor R1 when both are connected in parallel.
I18.0 Ω= A
P18.0 Ω= W
What is the time constant of the circuit shown in Figure OQ28.7? Each of the five resistors has resistance R. and each of the five capacitors has capacitance C. The internal resistance of the battery is negligible. (a) RC. (b) 5RC. (c) 10RC (d) 25RC (e) none of those answers
A 580 Ω resistor, an uncharged 1.75 μF capacitor, and a battery with a 6.1 V potential difference are connected in series.
Randomized Variables
R = 580 ΩC = 1.75 μFΔV = 6.1 V
a) What is the initial current in mA, immediately after they are connected?
b) What is the RC time constant in s?
c) What is the current, one time constant after they are connected, in milliamps?
d) What is the voltage on the capacitor after one time constant in V?
Chapter 26 Solutions
University Physics with Modern Physics (14th Edition)
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DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY