Physics 2

An electron is accelerated from rest through a potential difference of 1200 V. It then enters a region where a magnetic field of 80 $\mu$T is oriented perpendicular to the electrons motion. What is the radius of the electron's motion in the magnetic field?

A region of the rectangular wire loop shown below sits in a uniform magnetic field directed into the page, $\vec{B}$ = 7.0 T. The coil is being pulled to the right (shown in blue) at a velocity of 3 m/s. Note that the loop is being pulled into a region that does not contain a magnetic field. Find the:

C. Force required to pull the wire loop at constant velocity

A square coil, with dimensions l = 12.0 cm, w = 7.0 cm, is placed d = 3.0 cm above a wire that carries a current of 30.0 A. Find the magnetic flux through the wire.

A circular loop of wire is moving downwards towards a magnet as shown below. Find the direction of the induced current (viewed from above) as:

A. the loop approaches the north pole

B. the loop moves past the south pole

The wire depicted below has a current I = 25.0 A, r$_1$ = 9.0 cm and r$_2$ = 6.0 cm. Find the magnetic dipole moment $\vec{\mu}$.

The circuit below is a square with sides L and is placed in a magnetic field directed into the screen. Attached to the circuit are two light bulbs of resistance R $\Omega$. The magnetic field is described by the function B(t) = at + b. What is the current in the circuit and in what direction does it flow. Also how much power is dissipated in light bulb 1.

The solenoid depicted below has a diameter, $\Phi$ = 10 cm, and initial $\vec{B}$ = 40 mT. Due to an increasing current, the $\vec{B}$ field increases at 7 $\frac{mT}{s}$. Determine the magnitude and direction of the induced electric field at a radius of r = 3 cm within the solenoid.

The solenoid depicted below has a diameter, $\Phi$ = 10 cm, and initial $\vec{B}$ = 40 mT. Due to an increasing current, the $\vec{B}$ field increases at 7 $\frac{mT}{s}$. Determine the magnitude and direction of the induced electric field at a radius of r = 9 cm (this is outside of the solenoid).

A 40 uF capacitor is in series with a 100 mH inductor, a 30 ohm resistor, and a 15V AC signal with a frequency of 60Hz. (a) Calculate the capacitive reactance and the inductive reactance in the circuit. (b) Determine the impedance. (c) Calculate the rms current in the circuit. (d) Calculate the voltage across the resistor, the inductor, and the capacitor. (e) How much power is consumed in the circuit? (f) What is the resonant frequency of the circuit?

Before the switch is closed, the capacitor is uncharged and all currents are zero.

B. A long time after the switch is closed, find the voltage drop across and the current through the capacitor, inductor, and resistor.

What are the maximum voltage drops across each element? What is the average power dissipated in the circuit?

What is the maximum value of the magnetic field 1.0 m away from a 100 W light bulb?

What would be the force on your fingertip if you held it 1.0 m away from a 100 W light bulb? Assume a perfect reflector and use 1.0 cm$^2$ as the area of your fingertip.

You are looking into a shiny Christmas ornament (ball). The ball has a diameter of 8.0 cm. Where does your image appear to be if you are holding the ball 20 cm from your face? What is the magnification?

A convex mirror in a store has a radius of curvature of 0.55 m. If a customer is 10 m from the mirror, where is the customer's image in the mirror? What is the magnification of the image of the image? What is the orientation of the image?

The image of a tree on a 35 mm color slide is 1.8 mm high. It is to be projected onto a screen 3.0 m from the slide and is to appear 493 mm high. What focal length is needed?

A plate of glass, with thickness t (green), is shown below. Find the distance, d (in red), that the ray is displaced.

A telescope is constructed with two lenses separated by 25 cm. The focal length of the objective is 20 cm. The focal length of the eyepiece is 5.0 cm. If an object is 100 m away from the objective lens, where is the final image of the eyepiece? What is its magnification?

When Mars is nearest the Earth, the distance separating the two planets is 88.6 x 10$^6$ km. Mars is viewed through a telescope whose mirror has a diameter of 30.0 cm. If the wavelength of the light is 590 nm, what is the smallest distance that can be resolved between the two points on Mars?