Solve the following problems, complete with given, required, formula, solution and boxed/underlined final answer. 1. A proton is moving in circle of radius 15cm in a transverse magnetic field of magnitude 2500 G. Find the following: a.) Frequency of the motion b.) speed of the proton 2. A straight, flexible length of copper wire is immersed in a magnetic field that is directed into the page. (a) If the wire’s current runs in the +x-direction, which way will the wire bend? (b) Which way will the wire bend if the current runs in the –x-direction? 3. A circular coil of current I=1A and area A=0.2m2 is placed flat on a table where the magnetic field B= 1T along the horizontal and to the right, Seen from above and looking down on the table, the current is flowing in a counter clockwise direction. Find the following: a.) Calculate the torque on the coil for N=1 b.) What is the torque on the coil when the coil has turned by 30° c.) What is the torque on the coil when the coil is perpendicular to the field lines? 4. A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 4cm and 1000 turns. The magnetic field changes at a rate of 5 T per second. Calculate the following: a.) Area vector b.) Induced emf 5. A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 0.03m and 1500 turns. The magnetic field changes at a rate of 7 T per second. Calculate the following: a.) Area vector b.) Induced emf 6. A capacitor C=25microfarad is charged by a 40 volt battery. When the capacitor is fully charged, it is disconnected from the battery and connected in series to an ideal inductor L=7mH. a.) Find the frequency (in Hz) and angular frequency (in rad/s) of the circuit. b.) What is the maximum charge of the capacitor? c.) At t=32s, what is the charge in capacitor? What is the current? d.) What is the total energy of the circuit?
Solve the following problems, complete with given, required, formula, solution and boxed/underlined final answer.
1. A proton is moving in circle of radius 15cm in a transverse magnetic field of magnitude 2500 G. Find the following: a.) Frequency of the motion b.) speed of the proton
2. A straight, flexible length of copper wire is immersed in a magnetic field that is directed into the page. (a) If the wire’s current runs in the +x-direction, which way will the wire bend? (b) Which way will the wire bend if the current runs in the –x-direction?
3. A circular coil of current I=1A and area A=0.2m2 is placed flat on a table where the magnetic field B= 1T along the horizontal and to the right, Seen from above and looking down on the table, the current is flowing in a counter clockwise direction. Find the following:
a.) Calculate the torque on the coil for N=1
b.) What is the torque on the coil when the coil has turned by 30°
c.) What is the torque on the coil when the coil is perpendicular to the field lines?
4. A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 4cm and 1000 turns. The magnetic field changes at a rate of 5 T per second. Calculate the following:
a.) Area vector
b.) Induced emf
5. A uniform magnetic field is directed at an angle of 30o with the plane of a circular coil of radius 0.03m and 1500 turns. The magnetic field changes at a rate of 7 T per second. Calculate the following:
a.) Area vector
b.) Induced emf
6. A capacitor C=25microfarad is charged by a 40 volt battery. When the capacitor is fully charged, it is disconnected from the battery and connected in series to an ideal inductor L=7mH.
a.) Find the frequency (in Hz) and angular frequency (in rad/s) of the circuit.
b.) What is the maximum charge of the capacitor?
c.) At t=32s, what is the charge in capacitor? What is the current?
d.) What is the total energy of the circuit?
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