Verify by substitution that the following equations arc solutions to Equations 33.19 and 33.20, respectively:
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Chapter 34 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- Complete the calculation in Example 31.3 by proving that 0e2Rt/Ldt=L2Rarrow_forwardShow that the units 1 A2 ⋅ Ω = 1 W, as implied by the equation P = I 2R .arrow_forwardProblem 6: Two power lines, line 1 and line 2, both of length L 88 m, are strung east-west between two towers. line 1 is r12 1.1 m directly above line 2. The current in both power lines is IL- 77 A to the west. Assume the power lines are straight and you can use the approximation ri2 << L Randomized Variables LL 88 m 12 1.1 m IL-77 A A Part (a) Find the magnitude of the magnetic field B21, in teslas, produced by line 1 at Part (b) What is the direction of the magnetic field produced by line 1 at line 2? Part (c) Calculate the magnitude of the magnetic force F21, in newtons, that the line 2 South. Correct! current in line 1 exerts on line 2. Part (d) Assume a typical power line has a mass of 890 kg per 1000 m. How many times larger would the current in both lines have to be for the magnetic force on the line to balance the force of gravity? tan() acos() sinh0) sin cos(0) cotanO asin acos 4 5 6 atan()acotan(0 coshO cotanhO 0 Degrees O Radians BACKSPACE CLEAR Submit Hint I give up!arrow_forward
- E₁ 18 V + b с R2 2.5 Ω a 12 12 13 h 13 0.5 Ω R₁ ww 6.0 Ω + 13 12 g f 0.5 Ω E2 = 45 V 12 e R3 1.5 Ωarrow_forwardProblem 5: Two power lines, line 1 and line 2, both of length LL = 74 m, are strung east-west between two towers. line 1 is r12 = 1.l m directly above line 2. The current in both power lines is L = 72 A to the west. Assume the power lines are straight and you can use the approximation r12 « LL. %3D Randomized Variables LL = 74 m r12 = 1.1 m IL = 72 A || Part (a) Find the magnitude of the magnetic field B21, in teslas, produced by line 1 at line 2. Part (b) What is the direction of the magnetic field produced by line 1 at line 2? V Correct! South. Part (c) Calculate the magnitude of the magnetic force F21, in newtons, that the current in line 1 exerts on line 2. Part (d) Assume a typical power line has a mass of 890 kg per 1000 m. How many times larger would the current in both lines have to be for the magnetic force on the line to balance the force of gravity? I/IL = sin() cos() tan() 7 8 9 НOME cotan() asin() acos() E 1^A 4 5 6 atan() acotan() sinh() 3 cosh() tanh() cotanh() + END…arrow_forwardTwo wires AC and BC are attached to a 7 Kg sphere that It rotates at constant speed v in the horizontal circle shown in the figure. Yes θ1 = 55° and θ2= 30 ° and d 1.4 m, determine the range of values of v for which both wires are held taut.arrow_forward
- The figure below shows two parallel conducting rails 18.8 cm apart, connected by a resistor with resistance R3 = 5.00 Ω. Two metal rods with resistances R1 = 12.8 Ω and R2 = 15.0 Ω slide along the rails with negligible friction. Rod R1 slides to the left at constant speed v1 = 4.00 m/s, while rod R2 slides at speed v2 = 2.00 m/s. The rods and rails are in the presence of a uniform magnetic field pointing into the page, perpendicular to the plane of the rails, with a magnitude of Bin = 0.0100 T. Two parallel horizontal rails are vertically aligned and connected through their centers with a vertical wire containing resistor R3. A vertical rod labeled R1 lies vertically across the sides of the rails to the left of R3. An arrow labeled (vector v1) extends from the center of this left rod to the left. A vertical rod labeled R2 lies vertically across the sides of the rails to the right of R3. An arrow labeled (vector v2) extends from the center of this right rod to the right.…arrow_forwardStill in DC steady state, ℰ and R₁ are unknown, but set to allow I₁ = 6 A, R₂ = 5 Ω, and R₃ = 6 Ω. Calculate I₂.arrow_forwardStill in DC Steady State, ℰ=11 volts, R1=46 Ω, R2=51 Ω, and R3=37 Ω, and L=6 Henry. Calculate I1.arrow_forward
- A simple series circuit consists of a 160 resistor, a 28.0 V battery, a switch, and a 3.20 pF parallel-plate capacitor (initially uncharged) with Os. plates 5.0 mm apart. The switch is closed at t = ▼ Part A After the switch is closed, find the maximum electric flux through the capacitor. VE ΑΣΦ Submit Part B 0.175 A Submit After the switch is closed, find the maximum displacement current through the capacitor. Part C Request Answer ✓ Correct Previous Answers Find the electric flux at t Submit ΨΕΙ ΑΣΦ Part D = 0.50 ns. Request Answer - ΑΣΦ Find the displacement current at t ? wwwww. 0.50 ns. 5 2. ? V. m ? V. marrow_forwardYou have been called in as an expert witness in a civil case. The case involves a dispute between neighbors. The plaintiff neighbor is complaining about a buzzing noise during the night that prevents the plaintiff from sleeping. He claims that the buzzing is coming from a light fixture on the defendant’s porch ceiling. The defendant likes to do installations and repairs himself and has done a sloppy job of installing the light fixture. The fixture hangs vertically from a single wire that is attached through the porch ceiling and down the wall to one connector in a nearby electrical outlet. The second wire is hung horizontally with strings at the level of the light and then runs down the wall to the other connector in the outlet. The defendant leaves the light on all night long for security. Recalling his high school physics, the plaintiff states that the combination of the 60-Hz household voltage and the magnetic field of the Earth results in an oscillating driving force on the single…arrow_forwardIn the figure below, R1 =10.0kΩ, R2 =15.0kΩ, C=0.40μF, and the ideal battery has an emf E=20.0V. First, the switch is closed until the system reaches steady state; then, the switch is opened at time t = 0 and the capacitor starts to discharge. What is the current in R2 at t = 3.00 ms?arrow_forward
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