DATA A pair of long, rigid metal rods, each of length 0.50 m, lie parallel to each other on a frictionless table. Their ends are connected by identical, very lightweight conducting springs with unstretched length l o and force constant k ( Fig. P28.78 ). When a current I runs through the circuit consisting of the rods and springs, the springs stretch. You measure the distance x each spring stretches for certain values of I . When I = 8.05 A, you measure that x = 0.40 cm. When I = 13.1 A, you find x = 0.80 cm. In both cases the rods are much longer than the stretched springs, so it is accurate to use Eq. (28.11) for two infinitely long, parallel conductors, (a) From these two measurements, calculate l 0 and k. (b) If I = 12.0 A. what distance x will each spring stretch? (c) What current is required for each spring to stretch 1.00 cm? Figure P28.78
DATA A pair of long, rigid metal rods, each of length 0.50 m, lie parallel to each other on a frictionless table. Their ends are connected by identical, very lightweight conducting springs with unstretched length l o and force constant k ( Fig. P28.78 ). When a current I runs through the circuit consisting of the rods and springs, the springs stretch. You measure the distance x each spring stretches for certain values of I . When I = 8.05 A, you measure that x = 0.40 cm. When I = 13.1 A, you find x = 0.80 cm. In both cases the rods are much longer than the stretched springs, so it is accurate to use Eq. (28.11) for two infinitely long, parallel conductors, (a) From these two measurements, calculate l 0 and k. (b) If I = 12.0 A. what distance x will each spring stretch? (c) What current is required for each spring to stretch 1.00 cm? Figure P28.78
DATA A pair of long, rigid metal rods, each of length 0.50 m, lie parallel to each other on a frictionless table. Their ends are connected by identical, very lightweight conducting springs with unstretched length lo and force constant k (Fig. P28.78). When a current I runs through the circuit consisting of the rods and springs, the springs stretch. You measure the distance x each spring stretches for certain values of I. When I = 8.05 A, you measure that x = 0.40 cm. When I = 13.1 A, you find x = 0.80 cm. In both cases the rods are much longer than the stretched springs, so it is accurate to use Eq. (28.11) for two infinitely long, parallel conductors, (a) From these two measurements, calculate l0 and k. (b) If I = 12.0 A. what distance x will each spring stretch? (c) What current is required for each spring to stretch 1.00 cm?
6. Rail guns have been suggested for launching projectiles into space without chemical rockets. A
tabletop model rail gun (Figure A2.4) consists of two long, parallel, horizontal rails, l= 3.50 cm apart,
bridged by a bar of mass m= 3.00 g that is free to slide without friction. The rails and bar have low
electric resistance, and the current is limited to a constant I = 24.0 A by a power supply that is far
to the left of the figure, so it has no magnetic effect on the bar. Figure A2.4 shows the bar at rest
at the midpoint of the rails at the moment the current is established. We wish to find the speed
with which the bar leaves the rails after being released from the midpoint of the rails.
(a) Find the magnitude of the magnetic field at a distance of 1.75 cm from a single long wire carrying
a current of 2.40 A.
(b) For purposes of evaluating the magnetic field, model the rails as infinitely long. Using the result
of part (a), find the magnitude and direction of the magnetic field at the…
1. A 11.8 ?F capacitor is charged by a 25.0 V battery through a resistance R. The capacitor reaches a potential difference of 4.00 V at a time 3.00 s after charging begins. Find R.
________ kΩ
2.A proton moves perpendicular to a uniform magnetic field at a speed of 1.20 107 m/s and experiences an acceleration of 1.40 1013 m/s2 in the positive x-direction when its velocity is in the positive z-direction. Determine the magnitude and direction of the field.
magnitude _______
PLEASE ANSWER BOTH
A closed curve encircles several conductors. The line integral PB.dL around this curve
is 3,83x104 T.m
(a) What is the net current in the conductors?
(b) If you were to integrate around the curve in the opposite direction, what would be
the value of the line integral?
Select one:
lenci=D
305 A, 0.0 T.m
lencl = 502 A, -3.83 x 10 4T.m
lenci = 502 A, -7.66 x 104 T.m
lencl = 600 A, -7.66 x 104T.m
lencl = 305 A, -3.83 x 10 4 T.m
lencl =
502 A, 0.0 T.m
%3D
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