15 Questions
What is the formula for instantaneous power delivered to the capacitor under DC condition?
i(t)v(t)
What is the unit of inductance?
Henry (H)
What is the constant of proportionality called for an inductor?
Henry (H)
What is the formula for the energy stored in a capacitor?
(1/2)CV^2
What is the integral form of the equation for voltage across a capacitor?
(1/C)∫idt + v(to)
In the context of a closed wire loop residing in a uniform external magnetic field, what happens when the loop is oriented such that the magnetic field is in the plane of the loop?
No net magnetic torque is exerted on the loop.
What is the expression for magnetic torque on a current-carrying loop when the external magnetic field B is in the plane of the conducting loop?
$T=0$
What happens to the magnetic force on a wire segment residing in a uniform external magnetic field when it becomes part of a closed current loop?
It becomes zero due to cancellation effects.
What is the relationship between the forces F2 and F4 acting on a current-carrying loop when the external magnetic field makes an angle 𝜃 with the normal of the plane of the conducting loop?
$F_2$ and $F_4$ are equal in magnitude and opposite in direction.
What happens to the magnetic force on a semicircular conductor when it is oriented as a curved wire?
$\text{Ft}=0$, no net force is exerted.
What is the expression for the magnetic force exerted on a wire segment residing in a uniform magnetic field, when it becomes part of a closed current loop?
$F_m = 0$
What is the formula for the magnetic torque on a current-carrying loop when the external magnetic field is in the plane of the conducting loop?
$\tau = 0$
What is the relationship between the forces $F_2$ and $F_4$ acting on a current-carrying loop when the external magnetic field makes an angle $\theta$ with the normal of the plane of the conducting loop?
$F_2 = -F_4$
What happens to the magnetic force on a semicircular conductor when it is oriented as a curved wire?
$F_t = F_1 + F_2 = 0$
What is the formula for calculating $d𝑙$, the differential length element, for a curved wire in terms of $r$ and $d𝜙$, where $d𝜙$ represents an infinitesimal angle?
$d𝑙 = r d𝜙$
Study Notes
Capacitors
- A capacitor is a passive element designed to store energy in its electric field.
- A capacitor consists of two conducting plates separated by an insulator (or dielectric).
- The amount of charge stored (q) is directly proportional to the applied voltage (v).
- Capacitance is the ratio of the charge on one plate of a capacitor to the voltage difference between the two plates, measured in farads (F).
- Capacitance depends on the physical dimensions of the capacitor, including:
- Surface area (A) of each plate
- Distance (d) between the plates
- Permittivity (ε) of the dielectric material between the plates
- Permittivity is the measure of a material's ability to store an electric field.
- Typical capacitor values range from picofarad (pF) to microfarad (µF).
- The capacitor voltage depends on the past history of the capacitor current, giving it a memory property.
- The capacitor's memory property is often exploited in various applications.
Test your knowledge of capacitors and inductors with this quiz on electrical circuits. Learn about the passive elements designed to store energy in electric fields and the storing of charge in conducting plates separated by insulators.
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