Physics 2

The circuit below is set in a uniform magnetic field that is going into the page. The circuit is attached to a moving conducting bar, shown in blue, below. The result is the circuit has a fixed length L and an increasing width of X. Find the induced current as a function of the velocity of the bar in the direction shown.

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).

Given an RL charging circuit with battery voltage, $\epsilon$ = 30 V, an inductor with L = 30 mH, and a resistor of 50 $\Omega$, how long will it take for the current to reach 75% of its maximum value?

In the circuit below, the switch sw has been open for a long time. At t = 0, the switch closes. Write, as a function of time for t > 0:

B. the energy in the inductor

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?

A 50 $\mu$F capacitor is charged to 12V and then connected across a 60 mH inductor. What is the maximum current that will flow in the circuit?

A LC circuit consists of a 10 mH inductor and a 1 microfarad capacitor. If the maximum instantaneous current is 0.1 A, what is the greatest potential difference across the capacitor?

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?

An AC circuit with a 450 Ωresistor, 1.7 H inductor, and a 10 μF capacitor oscillates at a frequency of 50 Hz. If the source voltage is 220 V (rms), find the following:

inductive reactance

capacitive reactance

impedance

rms current of circuit

max voltage across resistor

rms voltage across capacitor

max voltage across inductor

average power dissipated in circuit

power factor

phase angle between current and voltage

resonant frequency of the circuit

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

An FM radio station broadcasts at 98.6 MHz. What is the wavelength of the radio waves? If the maximum electric field component of an electromagnetic wave is 600 V/M, what is the average intensity of the wave?

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?

A concave mirror has a focal length of 40 cm. Determine the object position for which the resulting image is upright and 4 times the size of the object.

You want to form an image on a screen 10 m from a mirror. If the image is 7 times bigger than the object, what type of mirror do you need? What is the radius of curvature?

An object is placed at a distance of 30 cm from a concave lens of focal length 15 cm, h$_I$ = 2 cm. Determine the position of the image, the linear magnification, and h$_0$.

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?