FIGURE P30.46 shows a 4.0-cm-diameter loop with resistance
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Chapter 30 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
- A flat, square coil of 20 turns that has sides of length 15.0 cm is rotating in a magnetic field of strength 0.050 T. If tlie maximum emf produced in die coil is 30.0 mV, what is the angular velocity of the coil?arrow_forwardA thin wire = 30.0 cm long is held parallel to and d = 80.0 cm above a long, thin wire carrying I = 200 A and fixed in position (Fig. P30.47). The 30.0-cm wire is released at the instant t = 0 and falls, remaining parallel to the current-carrying wire as it falls. Assume the falling wire accelerates at 9.80 m/s2. (a) Derive an equation for the emf induced in it as a function of time. (b) What is the minimum value of the emf? (c) What is the maximum value? (d) What is the induced emf 0.300 s after the wire is released? Figure P30.47arrow_forwardShow that Equation 32.28 in the text Ls Kirchhoffs loop rule as applied to the circuit in Figure P32.56 with the switch thrown to position b.arrow_forward
- Figure P30.39 shows a stationary conductor whose shape is similar to the letter e. The radius of its circular portion is a = 50.0 cm. It is placed in a constant magnetic field of 0.500 T directed out of the page. A straight conducting rod, 50.0 cm long, is pivoted about point O and rotates with a constant angular speed of 2.00 rad/s. (a) Determine the induced emf in the loop POQ. Note that the area of the loop is a2/2. (b) If all the conducting material has a resistance per length of 5.00 /m, what is the induced current in the loop POQ at the instant 0.250 s after point P passes point Q? Figure P30.39arrow_forwardA rectangular conducting loop is placed near a long wire carrying a current I as shown in Figure OQ23.5. If I decreases in time, what can be said of the current induced in the loop? (a) The direction of the current depends on the size of the loop. (b) The current is clockwise. (c) The current is counterclockwise. (d) The current is zero. (e) Nothing can be said about the current in the loop without more information.arrow_forwardA square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.0410 - 0.8400 t with B in teslas and t in seconds, what is the total emf in the circuit?arrow_forward
- A current runs in a long solenoid of a radius 3 cm and 437 turns per meter. The current in the solenoid is increased at a rate of 2 A/s. A single circular loop of wire of radius 5 cm and resistance 2 Ω surrounds the solenoid. Find the electrical current induced in the single loop. Give your answer in units of microamperes.arrow_forwardA 2100-turn solenoid is 1.5 m long and 15 cm in diameter. The solenoid current is increasing at 1.1 kA/s. A. Find the current in a 10cm-diameter wire loop with resistance 6.0 Ω lying inside the solenoid and perpendicular to the solenoid axis. B. Repeat for a similarly oriented 25cm-diameter loop with the same resistance, lying entirely outside the solenoid.arrow_forwardA 2.00×10-2 Ω square wire loop 40.0 cm on a side has its plane normal to a uniform magnetic field of magnitude B = 3.0 T. If you pull two opposite sides of the loop away from each other, the other two sides automatically draw toward each other, reducing the area enclosed by the loop.If the area is reduced to zero in a time of 0.30 s what is the average emf during this time interval? What is the average current during this time interval?arrow_forward
- A square wire with 2 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains a 20 V battery with negligible resistance. If the magnitude of the field varies with time according to B = 1.1410 - 0.8500 t with B in teslas and t in seconds, what is the total emf in the circuit?arrow_forwardThe figure below shows an end view of a single-turn square loop of metal wire in the center of and coaxial with a very long solenoid with a circular cross section. The solenoid is 21.0 cm long, has a radius r = 3.00 cm, and consists of 102 turns of wire. The length of each side of the square loop is € = 1.50 cm. Ⓡ (a) The current in the solenoid is 2.00 A. What is the magnetic flux through the square loop (in T. m²)? T.m² (b) The current decreases from 2.00 A to zero in 4.00 s. What is the magnitude of the average induced emf in the square loop (in V) over this time?arrow_forwardA 2500-turn solenoid is 1.5 m long and 15 cm in diameter. The solenoid current is increasing at 1.5 kA/s. Find the current in a 10-cm diameter wire loop with resistance 5.0 Ω lying inside the solenoid and perpendicular to the solenoid axis. Repeat for a similarly oriented 25-cm diameter loop with the same resistance, lying entirely outside the solenoid.arrow_forward
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