If R Ro[1+ a(T-To)], find: = (a) the temperature coefficient of resistivity, a, in terms of R, Ro, T, and To. (b) the temperature coefficient of resistivity for a resistor with resistances of 8.2 2 at 33°C and 9.35 at 70°C.
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- Resistivity in metals increases with temperature according to the equation: ρ(T) = ρ0[1 + α(T - T0)] where α is the temperature coeficcient of restivity, and ρ0 is the restivity at the reference temperature T0. For a particular wire, the temperature coeficcient of restivity is α = 3.83 X 10-3 °C-1, and the restivity is ρ0 = 7.71 X 10-7 Ωm at the reference temperature T0 = 297°C. Find an expression for the temperature T2, at which the resistance of a particular wire will be twice as high as it is at the reference temperature T0. (Both temperatures are in degrees Celsius) Use this expression to find the temperature in degrees Celsius for T2. If the wire has a length of 1.00m and it has a circular cross section with a radius of 1.00cm, what is the resistance in ohms, at a temperature which is twice the reference temperature, T = 2T0 ?The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law :R = Ro [1 + α (T – To )]The resistance is 101.6 Ω at the triple-point of water 273.16 K, and 165.5 Ω at the normal melting point of lead (600.5 K). What is the temperature when the resistance is 123.4 Ω?(1) THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN HERE. A rod of semiconducting material of length L the x-axis between a = 7 m and cross-sectional area A = 2.5 mm2 lies along L. The material obeys Ohm's law, and its resistivity varies along the %3D 0 and z = (1) rod according top= Po where po = 2.5 x 10N. m. The end of the rod at a = 0 is at a L2 %3D potential Vo = 40 V greater than the end at z = L. A) What is the total resistance, in units of 2, of the rod? Answer: B) What is the current, in units of miliamperes, in the rod? Answer: C) What is the electric potential, in units of Volt, in the rod at z = L/2? Answer:
- asapDuring an experiment to verify Ohm's law, the voltage supplied and the current through a circuit are measured. [Voltage is measured in Volt (V) and current in Ampere (A)]. V www R A Battery The measured value of the current is I = 2.8 ± 0.1 A and that of the voltage is V = 18 ± 0.4 V. The resistance of the circuit %3D %3D (in Q) can be calculated using the formula, R =V/I, Calculate the, a) Resistance (in Q) = b) Fractional uncertainty in the resistance = c) Absolute uncertainty (in 2) in the resistance=of 20.0°C and satisfies the equation p = Po[1 + a(T - T)], where po is the resistivity of = 20.0°C. Suppose the coefficients were given the symbol B and were based on a T, of 0°C, so that they satisfied the equation p = Po*[1+ B(T - 0°C)], The temperature coefficient of resistivity a is based on a reference temperature the material at To where is the resistivity of the material at 0°C. Obtain the value for the coefficient a from this table and then determine the value of the coefficient B for silver. Po (°C)-1 Need Help? Read It
- The current I is measured through a sample of an ohmic material as a voltage V is applied. (a) What is the current when the voltage is doubled to 2V (assume the change in temperature of the material is negligible)? (b) What is the voltage applied is the current measured is 0.2I (assume the change in temperature of the material is negligible)? What will happen to the current if the material if the voltage remains constant, but the temperature of the material increases significantly?Cheap resistors are fabricated by depositing a thinlayer of carbon onto a nonconducting cylindrical substrate. If such a cylinder has radius a and length d, determine the thickness of the film required for a resistance R ifa = 1 mm R = 33 kσ = 1ρ = 2.9 MS/md = 9 mmNeglect the end surfaces of the cylinder and assumethat the thickness is much smaller than the radius.Qʻ: Calculate the drift velocity and mean free path of copper when it carries a steady current of 10 amperes and whose radius is 0.08 cm. Assume that the mean thermal velocity 1.6 x 10° m/s and the resistivity of copper 2 x 10° m
- Silicon is a semiconducting metal with a resistivity of 640 Ω · m. (a) Determine the current per unit area through a 5.02 V silicon junction with a length of 1.64 mm. (Enter your answer in A/m2.) (b) Find the current (in A) through the junction if its cross-sectional area is 3.00 ✕ 10−5 m2.If R is the total resistance of three resistors, connected in parallel, with resistances R,, R,, R3, then 1 1 + + R2 1 R R, R3 If the resistances are measured in ohms as R, = 64 N, R, = 20 N, and R, = 8 N, with a possible error of 0.5% in each case, estimate the maximum error in the calculated value of R. (Round your answer to three decimal places.)(A) If the resistor color code has measured values between 7.79 2 and 8.61Q, what is its nominal value and tolerance? And then record resistor color code bands. (B) Using CDR to determine i-line and all i-branches for the circuit in Fig. below: 120 V 6Ω 1Ω 2Ω