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- Consider a resistor made from a hollow cylinder of carbon as shown below. The inner radius of the cylinder is Ri= 0.20 mm and the outer radius is R0 = 0.30 mm. The length of the resistor is L = 0.90 mm. The resistivity of the carbon is =3.5105 m. (a) Prove that theresistance perpendicular from the axis is R=2L1n(R0Ri) . (b) What is the resistance?Using the exact exponential treatment, find how much time is required to discharge a 268-µF capacitor through a 498-Ω resistor down to 1.00% of its original voltage?____ sI have a non-ohmic resistor that is modeled by I=AeBV, and I was asked to calculate the resistance at 4.5V using the formula R=dV/dI. I'm confused as to how to set this up.
- For temperature-dependent ohmic resistors (at least the kind we're focusing on), the relationship between resistance & temperature is linear. With that in mind, compare the formula for temperature-dependent ohmic resistance to the equation for a line (y = mx + b) and determine the slope and the y-intercept for a graph of R vs. T. Your answers should be in terms of Ro, ?, & To. [NOTE: for Ro & To the subscript is a lowercase o] R = Ro[1 + ?(T − To)] slope = y-intercept =What voltage will produce 0.2 AA of current through a 4800-ΩΩ resistor? Express your answer to two significant figures and include the appropriate units. V=Three resistors of 25 Ω, 30 Ω and an unknown resistance R are connected in parallel and thecombination is connected to a 16 V source. If the total current delivered by the source is 1.5 A,determine the following:A. The value of R.B. The current in each resistor.C. Which resistor dissipates the highest power? Show your solution. Based on your answer,what conclusion can be made?
- A nichrome wire has a resistance of 12 Ω at 0 oC. Calculate its resistance when placed in ahot springs at 55 oC. (b) What is the temperature of bath water in which the wire’sresistance is 12.146 Ω?What is the best estimate of the internal resistance r of a depleted (also called "flat") used battery?What special relationship can be observed if you a have a number of resistors with same ohmic value?
- Equation P = I2R Seems to suggest that rate of increase of internal energy in a resistor is reduced, if the resistance is made less. Equation P = V2/R seams to suggest just the opposite. How do you reconcile this apparent paradox?Attached is a figure that shows a source (a battery) with emf = Ɛ = 12V andinternal resistance of 2 Ω . We add another 4 Ω resistor to the battery, forming a complete circuit . What are the voltmeter and ammeter readings and I ?Note : The ideal ammeter has zero resistance, so the total resistance external to thesource is R = 4 Ω. Where the current through the circuit aa’b’b is thenHow many different resistance valuescan be created by combining three unequal resistors? (Don’t count possibilities in which not allthe resistors are used, i.e., ones in which there iszero current in one or more of them.)