Problem 7.40 Sea water at frequency v = 4 × 108 Hz has permittivity € = 81€0, permeability = μo, and resistivity p = 0.23 2 m. What is the ratio of conduc- tion current to displacement current? [Hint: Consider a parallel-plate capacitor im- mersed in sea water and driven by a voltage Vo cos (2π vt).]
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- A Solunoid of radius 1.50cm has 480 turns and a length of 25:0cm a) Find the rate at which current must change!! Through it. to Produce an emt of 60.0 m V₁. (Enter the magnitude), Lind dechrobe i d Note: Answer must be in A/S.A capacitor with square plates, each with an area of 37.0 cm2 and plate separation d = 2.44 mm, is being charged by a 555-mA current. (a) What is the change in the electric flux between the plates as a function of time? (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that dΦE/dt is in V · m/s and t is in seconds. Do not include units in your answer. Enter the magnitude.)A capacitor with square plates, each with an area of 34.0 cm² and plate separation d = 2.44 mm, is being charged by a 525-mA current. (a) What is the change in the electric flux between the plates as a function of time? (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that do/dt is in V m/s and t is in seconds. Do not include units in your answer. Enter the magnitude.) de dt = (b) What is the magnitude of the displacement current between the capacitor's plates?
- 3. A circular conductor of radius po = 1 cm has an internal field H=¹0^(½-sin(ap)——cos(ap)}a, (A/m) where a = π/(2po). Find the CS Scanned with CanScanner total current in the conductor.0₁ 0₂ A hemispherical grounding electrode of radius a = 1m is buried into the earth as shown in the cross-sectional figure above, but it happens to be right at the boundary of two types of soil with different conductivities. The conductivities are given by ₁ = 2 × 10-³ S/m and 02 = 8 x 10-³ S/m. The intensity of the current flowing into the electrode is I = 50 A. Answer the following questions, remembering to state and justify any assumptions you are making in your derivation: 1. What is the grounding resistance of the (entirety of the) earth in this configuration? Assume the soil extends to infinity in the region below the air/soil interface. 2. How much power is lost due to Joule/Ohmic heating in each of the two regions of the two types of soil?A halfwave dipole is 1.50 m long. At what frequency is it operating? Answer inMHz.
- A capacitor with square plates, each with an area of 37.0 cm² and plate separation d = 2.48 mm, is being charged by a 365-mA current. (a) What is the change in the electric flux between the plates as a function of time? (Use the following as necessary: t. Do not use other variables, substitute numeric values. Assume that doe/dt is in V m/s and t is in seconds. Do not include units in your answer. Enter the magnitude.) . ΟΦΕ dt = (b) What is the magnitude of the displacement current between the capacitor's plates? AE H A coaxial capacitor with inner radius 5 mm, outer radius 6 mm and length 500 mm has a dielectric for which e,=6.7 and an applied voltage 250 sin 377t (V). Determine the displacement current ip and compare with the conduction current i̟.A steady current of 10.0 A is passed through a water voltameter for 300 s. Estimate the volume of hydrogen evolved at standard temperature and pressure. Use the known value of Faraday's constant. Relative molecular mass of H, is 2.016 and molar volume = 22.4 litres (volume of 1 mol of an ideal gas at STP). trolusis
- Ps Two Conductancas G ard 62 haring valnes of b0o and Joo yn S respectiny , are connactid in pavallil. The Combination is then Gonmeetid in parallal with 800 resistor. Calculate the s a) Eguiralant re wistanca ofthe parallal Circnit. [Ans: 363. 6352 b) Curant in each branch if Gq Carries 2mA. Ans: SA 4.16 m power diss ipatid in coah draned. [Anso 6.6mw,lomw13-8mm d) Voltage across each omponant-LAnse 3.33. e) Total power dissipatol-(Ans: 30.5 mn). Pt A 6v battey, delivers loMA to thvee vesistors in faralkel , R, 21kr, R2=2k2,R3=Rx. Caleulatas a) Curront in Rx sthat is Ix. [Anss I mÁ) b) Power dissipatid. by Rx and Ry-{Anss 6mw, 36 mm. C) Resistance vatio Rx/R--(Anst 615). d) Cuvrent vatio Ji/Ix- [Anss 6/4]-According to the equation It) 1.e-t/t, the current in a wire varies over time and decreases exponentially. In this case, I represents the current at t=0, and t is a time constant. Take a look inside the conductor from a set point of view. Calculate the charge that flows across this stage between t O and t = t. (2,718 = e) a) 0.632167 b) 0.665107 c) 0.9404 d) 0.98217 e) 0.99317Tong coaxral is r1 and The figure shows the cross-section of a coble. of the s hell the ou ter is ro current Conductive the inner radius rodius Is 12 and the radius of + he 0n er conductor Interior and Equel ond opposite dlrection 1 stoble flous through outer conductors. Ampere's low ris the wher e t hr ough of the distonce from the oxis possing center +he the coble using expression that gives roSEE MORE QUESTIONS