From Kirchoff's law, the current I in an RC (resistor-capacitor) circuit during discharging obeys the equation R ²+²=C² = ( di(t) 1(t) dt a. Find I (t). b. For a capacitance of 10,000 uF charged to 100 V and discharging through a resistance of 1 m2, find the current I for t = 0 and for t = 100 sec. Note: The initial voltage is IR or Q/C, where I = dQ/dt.
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- A constant current transfers 10*10^14 electrons onto one plate of a capacitor in 3 minutes [min]. (a) What is the current, in units of amperes [A]? Express the answer using an appropriate SI prefix such that there are only 1, 2, or 3 digits shown to the left of the decimal. (b) If the capacitor has a capacitance of microfarads [F], what is the voltage in units of volts [V] across the capacitor?Copper has a work function of 4.70 eV, a resistivity of 1.7 x10-8 Ω ∙ m, and a temperature coefficient of 3.9 x10 -3 °C -1. Suppose you have a cylindrical wire of length 1.5 m and diameter 0.40 cm connected to a variable power source.a) Draw a clear physics diagram b) At what temperature would the wire have 2 times the resistance that it has at 20 °C?c) What is the peak wavelength of radiation emitted by a wire of thistemperature?d) If light at only the wavelength found above were shone onto a copper plate, what would be the maximum kinetic energy of the ejected electrons?A tungsten wire in a vacuum has length 15.0 cm andradius 1.00 mm. A potential difference is applied across it.(a) What is the resistance of the wire at 293 K? (b) Supposethe wire reaches an equilibrium temperature such that itemits 75.0 W in the form of radiation. Neglecting absorptionof any radiation from its environment, what is the temperatureof the wire? (Note: e = 0.320 for tungsten.) (c) What isthe resistance of the wire at the temperature found in part(b)? Assume the temperature changes linearly over this temperaturerange. (d) What voltage drop is required across thewire? (e) Why are tungsten lightbulbs energetically inefficientas light sources?
- 5 part A: If u(C) = 0.2C. What in the uncertainty of a 500 mF capacitor in mF? 5 Part B: If C = 500 mF and R = 8000 W , and V = 5 V. What is the voltage across the resistor in an RC circuit if it started out fully charged and the time since we started charging 6 seconds ago?Part A: Go with The Flow 1. A 5.0 C charge flows through a wire in 3 s. Calculate the current. 2. A nichrome wire of length 1.5 m is used as conductor. The cross-sectional area of the wire is 0.75 m2. Calculate for the resistance of the nichrome wire.(Resistivity of nichrome is 1.00 x 10-6 ) 3. A 5.0 A current is drawn to the circuit with resistor 5.0 -. What is the voltage of the source?Consider a resistor of resistivity 4.12 × 10-8 Ω • m. If an electric field of 19 V/m is applied across the resistor and the electron volume concetration in the conductor is 5.82 × 1028 per m3, determine the drift velocity, in mm/s, of the free electron constituting the current.
- Consider a resistor of resistivity 1.59x10^-8 ohms•m. If an electric field of 19 V/m is applied across the resistor and the electron volume concentration in the conductor is 4.7x10^28 per cubic meter, determine the drift velocity, in mm/s, of the free electron constituting the current.A circuit with a resistance R=64 omega is connected to a battery with potential difference across the terminals of deltaV=9.5 V. Part (a) input an expression for the current passing through the circuit, I. Part (b) What is the current in milliamps, mA? Part (c) If the resistance of the circuit was increased by a factor of ten, Rnew =10R, what is the new current in milliamps, mA?2) What is the drift speed of electrons in the 12-gauge wire of a certain conductor in a typical building of the UET physics lab having cross- sectional area of 3.31 um^2 and carries a uniform current of 10000.0 mA? Suppose each atom of the conductor contributes one free electron to the current, whereas the molar mass and density of the conductor is 63.5 g/mol and 8.92 g/cm^3.* Ob) 3 mf O c) 2.3 PF od) 2.1 m e) 2 UF f) 2 mF O F g) 1 m F O HINE
- A heating element is made by maintaining a potential difference of 75.0 V across the length of a Nichrome wire that has a 2.60 * 10-6 m2 cross section. Nichrome has a resistivity of 5.00 * 10-7 ohmm. (a) If the element dissipates 5000 W, what is its length? (b) If 100 V is used to obtain the same dissipation rate, what should the length be?Please help: Pacemakers designed for long-term use commonly employ a lithium-iodide battery capable of supplying 0.42 A•h of charge (A) How many coulombs of charge can such a battery supply? Express your answer using two significant figures (B) If the average current produced by the pacemaker is 5.6 micro Amps, what is the expected lifetime of the device? Express answer using two significant figuresShow that, according to the free-electron model of electrical conduction in metals and classical physics, the resistivity of metals should be proportional to where T is the temperature in kelvins.