1. Radios often utilize a variable capacitor (capacitance is changed by either changing the distance between...

1. Radios often utilize a variable capacitor (capacitance is changed by either changing the distance between plates or amount of dielectric between plates) in series with an inductor to tune the circuit to a particular frequency. In a particular shortwave radio, the value of the inductor is \(L=1.09 \mu H .\) What must be the capacitance (in \(\mathrm{pF}\) ) of the circuit so that the radio is tuned to a frequency of \(\mathrm{f}=6.95 \mathrm{MHz}\) ?

2. A conducting coil, with current \(i(t)=4.20 * e^{0.0250 t} \sin (120 \pi t)\), with i in amperes and \(t\) in seconds, is placed next to a second coil, end to end. At \(\mathrm{t}=0.740 \mathrm{~s}\), a. lab tech measures the emf across the second coil, and the result is \(\mathscr{E}=-3.70 \mathrm{~V} .\) What is the mutual inductance (in \(\mathrm{mH}\) ) of the coils?

Expert Solution

genius_generous answered 2 years ago

1. How is the charge stored on a capacitor related to the capacitance of the capacitor...

1. How is the charge stored on a capacitor related to the capacitance of the capacitor and the potential difference across the capacitor? a. The charge equals the product of the capacitance and the potential difference. b. The charge equals the ratio of the potential difference to the capacitance. c. The charge equals the ratio of the capacitance to the potential difference. 2. Which do we do to find the potential difference of a capacitor? a. integrate the electric field...

A spherical capacitor has vacuum between its conducting shells and a capacitance of 125 pF. The...

A spherical capacitor has vacuum between its conducting shells and a capacitance of 125 pF. The outer shell has inner radius 9.00 cm. a. If the potential of the inner shell is 355 V higher than the potential of the outer shell, what is the surface charge density on the outer shell? b. If the potential of the inner shell is 355 V higher than the potential of the outer shell, what is the surface charge density on the inner...

S-16) a) Design a parallel plate capacitor with a capacitance of 5 pF with vacuum between...

S-16) a) Design a parallel plate capacitor with a capacitance of 5 pF with vacuum between the plates. b) What will change if a dielectric is placed between the plates with dielectric constant of 2. Alternate problem 16 (your choice, do the above capacitor problem or the resistor problem below) S-16r) a) Given that the resistivity of carbon in graphite form is 5 x 10-5 Ω*m, design a 10 Ω resister. Hint: choose a cylindrical shape and specify the length...

A parallel-plate capacitor has capacitance C = 15.7 pF when the volume between the plates is...

A parallel-plate capacitor has capacitance C = 15.7 pF when the volume between the plates is filled with air. The plates are circular, with radius 2.50 cm. The capacitor is connected to a battery and a charge of magnitude 28.0 pC goes into each plate. With the capacitor still connected to the battery, a slab of dielectric is inserted between the plates, completely filling the space between the plates. After the dielectric has been inserted, the charge on each plate...

A parallel-plate capacitor has capacitance C0 = 7.80 pF when there is air between the plates....

A parallel-plate capacitor has capacitance C0 = 7.80 pF when there is air between the plates. The separation between the plates is 1.80 mm. 1- What is the maximum magnitude of charge that can be placed on each plate if the electric field in the region between the plates is not to exceed 3.00×104 V/mV/m? Express your answer with the appropriate units. 2- A dielectric with KKK = 2.40 is inserted between the plates of the capacitor, completely filling the...

Question 1 A series RLC circuit has a capacitor with a capacitance of 36.0 ?F ,...

Question 1 A series RLC circuit has a capacitor with a capacitance of 36.0 ?F , an inductor with an inductance of 0.300 H and a resistor with a resistance of 65.0 ?. The circuit is attached to a source that has a rms voltage of 52.0 V and a frequency of 85.0 Hz. What is the peak current, the phase angle and the average power loss? The Peak Current: The Phase Angle: The Average Power Loss:

Assume we have a parallel-plate capacitor. (1) If we increase the distance between the plates, what...

Assume we have a parallel-plate capacitor. (1) If we increase the distance between the plates, what will happen to its capacity? (2) If we increase the surface area of the plates, what will happen to its capacity? (Hint: How do you calculate the capacity of a capacitor?)

1: Can heat flow either into or out of a substance without the substance changing temperature?...

1: Can heat flow either into or out of a substance without the substance changing temperature? If not, why? If so, explain and give an example of such a process. 2: An ice cube can exist for many minutes while floating in water, even when the temperature of the water is greater than 0. Explain why.

A 1.2 nF parallel-plate capacitor has an air gap between its plates. Its capacitance increases by 3.0 nF when the gap is filled by dielectric.

A 1.2 nF parallel-plate capacitor has an air gap between its plates. Its capacitance increases by 3.0 nF when the gap is filled by dielectric. What is the dielectric constant of that dielectric?

1) A parallel plate capacitor is connected to a battery. The electric field between the plates...

1) A parallel plate capacitor is connected to a battery. The electric field between the plates is E. While still connected to the battery, we move the plates so that their plate separation is now twice as large. What is the electric field between the plates now? E/4. E. E/2. 4E. 2E. 2) A parallel plate capacitor with capacitance Co is fully charged. The plates are in the shape of a disk. If the diameter of the disk is doubled...

Question