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Part 1 of 1:

At t=0, a 12.6V battery is connected to a series circuit containing a 9 Ω resistor and a 1.2 H inductor.

What will be the current in the circuit, a long time after the circuit is established?

Part 2 of 2:

How long will it take the current to reach 50 percent of its final value?

Part 1 of 2:

Find the impedance of an RLC series circuit with inductance 54 mH, capacitance 26 μF, and resistance 110 Ω at a frequency of 60 Hz.

Part 2 of 2:

Find the impedance at a frequency of 600 Hz

A series RLC circuit is driven at a frequency of 450 Hz. The phase angle between the ap- plied voltage and current is determined from an oscilloscope measurement to be 45◦.

If the total resistance is known to be 35 Ω and the inductance is 0.15 H, what is the capacitance of the circuit?

A(n) 1 mm radius superconductor carries a 2019.5 A of current.

What is the magnetic field at the surface?

A 1.31144 μC charged particle with a kinetic energy of 0.13621 J is placed in a uniform magnetic field of magnitude 0.107491 T.

If the particle moves in a circular path of radius 1.44042 m, find its mass.

Part 1 of 2: 

A proton moves perpendicularly to a uni- form magnetic field B with a speed of 2 × 107 m/s and experiences an acceleration of 2.6 × 1013 m/s2 in the positive x direction when its velocity is in the positive z direction.The mass of a proton is 1.673 × 10−27 kg. Find the magnitude of the field.Part 2 of 2: What is its direction?Positive or negative and in the Z, Y, or X direction

What potential difference is measured across a 14.1 Ω load resistor when it is connected across a battery of emf 3.48 V and internal resistance 0.486 Ω?

A 14 Ω resistor and a 6.0 Ω resistor are con- nected in series with an emf source. The potential difference across the 6.0 Ω resistor is measured with a voltmeter to be 18 V.

Find the potential difference across the emf source. 

Part 1 of 2) A 10 Ω resistor and a 5.00 Ω resistor are connected in parallel to a battery, and the current in the 10 Ω resistor is found to be 0.740 A.

Find the potential difference across the battery.

Part 2 of 2) A 9.2 Ω resistor and a 5.2 Ω resistor are con- nected in series to a battery, and the current through the 9.2 Ω resistor is 1.6 A.

Find the potential difference across the battery.

Answers in V

Part 1 of 2:

A 5 μF capacitor is charged to 80 V.

How much energy is stored in the capacitor? Answer in units of mJ.

Part 2 of 2:

How much additional energy is required to charge the capacitor from 80 V to 190 V?

Answer in units of mJ.

Resistances of 1.8 Ω, 3.6 Ω, and 6.2 Ω and a 22 V battery are all in series.

Find the potential difference across the first (1.8 Ω) resistor.

Answer in units of V.

Birds resting on high-voltage power lines are a common sight. A certain copper power line carries a current of 143 A, and its resistance per unit length is 4.65 × 10−5 Ω/m.

If a bird is standing on this line with its feet 11 cm apart, what is the potential difference across the bird’s feet?

Answer in units of V.

A point charge of 1 μC is located a distance 65.1 m from an infinite plane.

Determine the electric flux through the plane due to the point charge. The permittiv- ity of a vacuum is 8.85419 × 10−12 C2/N m2 .

Answer in units of N * m2/C.

A spherical shell of radius 2.8 m is placed in a uniform electric field with magnitude 3540 N/C.

Find the total electric flux through the shell.

Answer in units of N · m2/C.

The resolution of a lens can be estimated by treating the lens as a circular aperture. The resolution is the smallest distance between two point sources that produce distinct im- ages. 

This is similar to the resolution of a single slit, related to the distance from the middle of the central bright band to the first-order dark band; however, the aperture is circular instead of a rectangular slit which introduces a scale factor.

Suppose the Hubble Space Telescope, 2.4 m in diameter, is in orbit 99.2 km above Earth and is turned to look at Earth.

If you ignore the effect of the atmosphere, what is the resolution of this telescope for light of wavelength 544 nm?

Answer in units of cm.

Light falls on a pair of slits 0.00178 cm apart. The slits are 77.4 cm from the screen. The first-order bright line is 1.8 cm from the central bright line.

What is the wavelength of the light? Answer in units of nm.

A convex lens forms a virtual image 4 times the size of the object. The object distance is 1.83333 cm.

Find the focal length of the lens. Answer in units of cm.

A convergent lens forms a real image 1.87 times the size of the object. The object distance is 19.2 cm. 

A divergent lens forms a virtual image 0.44 times the size of the ob ject. The object distance is 20.2 cm.

For both, Find the distance of the focal point from the center of the lens.

Answer in units of cm.