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Show that i = Iie-t/τ is a solution of the differential equation
iR + L di/dt = 0
where Ii is the current at t = 0 and τ = L/R.
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- The thin copper wire with radius of 1.3 mm is wound into a torus shaped coil as revealed in figure.From copper wire 8.75 x 10-2ampere electric current passing though in 4800 sec. Number of free electronsper cubic meter in copper wire is 5.8 x 1028. Calculate magnitude of electron’s drift velocity in the diameter of copper wire.Along the x axis, 3.57E16 electrons move from x = –1.00 m to x = 1.00 m in 9.25 s. What is the average current l through the origin x = 0.00 m (in A; use positive sign if l is in the +x direction, and negative sign if lis in the –x direction)?A cylindrical copper cable 1.50 km long is connected acrossa 220.0 V potential difference. What should be its diameter so thatit produces heat at a rate of 90.0 W?
- Suppose we have a steady current / in a wire of cross-sectional area A and length L. The current enters the wire at the end a and leaves at end b. The potential difference across the wire is electric field is given by Va-Vb =Vab = EL Vab =pJ%3p- The LA new expressure for the potential difference is given The SI unit of resistance is one ohm R=p- A by Vab=pL- = IR A Where %3D (1 Q). A resistor is a device made to have a certain resistance. If the potential difference is 6.0 V across a 4.0-k2 resistor, what is the current through it? 1.5 x10-A 15 x10-3A 4 x 10 A 4.0 x 10-3 A Click Save and Submit to save and submit. Click Save All Answers to save all answers.A current, i(t) = 50 cos(100t) enters the input terminal of an electric device. What is the charge q at t = 5 ms (given that at t =0, q =0) ? %3D 0.5/T coul 5 coul 5/T coul O 0.5 coulQ2. To determine the galvanometer's internal resistor R. and its maximum electric current Is, corresponding to a maximum deviation of its needle, we mount it in series with a rheostat, as shown in the adjacent figure. R a b son Reosta Galvanometre When the needle makes a maximum deviation Vab = V1 = 5 V and Rr= R1 = 80 k 2. When the needle makes 1/2 maximum deviation Vab = V2 = 2 V and Rp = R2 = 60 ko. When the needle makes 44 maximum deviation Vab = V3 = 2 V and Rr = R3 . V a) Write the relationship between V1, R1, Rc and le. b) Write the relationship between V2, R2, Re and Ic. c) Write the relationship between V3, R3, Re and Ic. d) Determine the values of Re and Ic. e) Determine the value of Rs. Answer:
- 100 A/m?. The total current in the circular conductor R The current density varies as J= having radius equal to 5 mm is, (а) 0.05л (b) 0.55л (с) 0.5л (d) 10.5лIn Fig.22, the wire bent in the form of semi-ellipses with semi-axes a=20 cm, b=10, c=10cm, d=5 cm, is made of a material with resistivity p = 1.72x10-8 m, and section diameter D=4 mm. Find the current intensity in the wire, if the potential difference is AV=4 mV. b AV Fig.22 a dParts of a ray's body act as cells in a battery. In a ray living in fresh water the cells are arranged in series, but for a ray living in salt water the cells are arranged in parallel. WW- (A) V) The following results are for five cells in series. The e.m.f. of the five cells together is 6.9 V. Load resistance / 2 Terminal p.d. /V Current / A 2.2 3.3 1.5 the internal resistance of one cell is:
- A neart pacema ker 4ires 69 times a minute eachtime a a5.0nf capacitur is charged Cbya batterin seris w Hh a resisTor) TO 0.oda 07 1t5 qull voltageS=69+ime per minuts What is the value o7 therSIstance in r? R=?Find the resistance between the inner and the outer curved surfaces of the block shown below, where the material is Silver o = 6.17 x 10°S/m. If the same current crosses both inner and outer curved surfaces J = 1ô A/m?. %3D Assume: Pa = 2 cm, po = 6 cm, ø = 20°. and z = 5 cm 113 Po P. O a. B.16 un O b. 6.12 un Oc 30.606 u Od. 4.59 u 1030A high voltage transmission line of diameter 3.73 cm and length 3.76189 km carries a steady current of 1.9 x10³ A. If the conductor is copper with a free charge density of 6 x 1028 electrons/m³, how long (in seconds ) does it take one electron to travel the full length of the cable? (e = 1.6 x 10-19 C).For this problem use scientific/exponential notation to represent your %3D answer. Eg., -0.0001 can be written as 1.0e-4 or as 1.0E-4. Spaces are not allowed.