Untitled Quiz

The magnetic field due to a circular coil on its axis can be calculated using the formula derived from Ampere's law, which shows that the field strength varies with distance from the coil and the current flowing through it.

The magnetic field inside a long straight cylindrical conductor is uniform and directed along the axis, while outside it decreases with distance from the cylinder's surface.

The torque on a rectangular coil in a magnetic field is given by the formula τ = nBA sin(θ), where n is the number of turns, B is the magnetic field strength, A is the area of the coil, and θ is the angle between the magnetic field and the normal to the coil.

<p>A galvanometer works by detecting the current flow through a coil placed in a magnetic field, causing it to rotate based on the torque exerted by the current.</p> Signup and view all the answers

<p>Diamagnetic materials repel magnetic fields.</p> Signup and view all the answers

<p>The force between two parallel wires carrying current can be calculated using the formula F = (μ₀/2π) * (I₁ * I₂ * L/d), where I₁ and I₂ are the currents, L is the length of the wires, d is the distance between them, and μ₀ is the permeability of free space.</p> Signup and view all the answers

<p>A solenoid creates a magnetic field similar to that of a bar magnet when current passes through it, exhibiting north and south poles.</p> Signup and view all the answers

<p>Faraday's law states that the induced electromotive force (emf) in a closed loop is equal to the rate of change of magnetic flux through the loop.</p> Signup and view all the answers

<p>1 Ampere is defined as the constant current that, if maintained in two straight parallel conductors of infinite length and negligible circular cross-section, would produce a force of 2 × 10⁻⁷ N per meter of length between these conductors.</p> Signup and view all the answers

<p>The proof of e = -dB/dt comes from applying Faraday's law of induction, which states that the induced emf is proportional to the negative rate of change of the magnetic field.</p> Signup and view all the answers

<p>The mutual inductance of two coaxial solenoids is defined as the ratio of the induced emf in one solenoid to the rate of change of current in the other solenoid.</p> Signup and view all the answers

<p>When alternating current (AC) passes through an LCR circuit, it can resonate at a particular frequency, where the inductive reactance equals the capacitive reactance, resulting in maximum current.</p> Signup and view all the answers

<p>Resonance is the phenomenon where a system responds with maximum amplitude at a particular frequency, known as the resonant frequency.</p> Signup and view all the answers

<p>A transformer operates on the principle of electromagnetic induction to change the voltage level in an AC circuit, consisting of two coils called the primary and secondary, which are magnetically coupled.</p> Signup and view all the answers

<p>The electric field on the equatorial line of a dipole is given by the formula $E = \frac{1}{4\pi \varepsilon_0} \frac{2p}{r^3}$, where p is the dipole moment and r is the distance from the dipole.</p> Signup and view all the answers

<p>The electric field due to an infinite sheet of charge is uniform and given by the formula $E = \frac{\sigma}{2\varepsilon_0}$, where σ is the surface charge density.</p> Signup and view all the answers

<p>The capacity of a partially filled capacitor can be calculated using $C = \frac{Q}{V}$, where Q is the charge stored and V is the voltage across the capacitor.</p> Signup and view all the answers

<p>The torque on a dipole in a uniform electric field is given by the formula $\tau = pE \sin(\theta)$, where p is the dipole moment, E is the electric field strength, and θ is the angle between them.</p> Signup and view all the answers

<p>A compound microscope is an optical instrument that uses multiple lenses to magnify small objects, typically consisting of an objective lens and an eyepiece.</p> Signup and view all the answers

<p>The lens maker's formula is given by $\frac{1}{f} = (n-1) \left( \frac{1}{R_1} - \frac{1}{R_2} \right)$, where f is the focal length, n is the refractive index, and R₁ and R₂ are the radii of curvature of the lens surfaces.</p> Signup and view all the answers

<p>The equation $ite = S + A$ represents the relationship between total current (i) flowing in a circuit, voltage (V), and electrical parameters, related to the conservation of energy in electrical circuits.</p> Signup and view all the answers

<p>A telescope is an optical instrument designed to observe distant objects by collecting and magnifying light using lenses and mirrors.</p> Signup and view all the answers

<p>The equation $I = neAv_d$ relates the total current (I) to the number density of charge carriers (n), charge of carriers (e), cross-section area (A), and their drift velocity (v_d).</p> Signup and view all the answers

<p>The equation $I = σxE$ represents Ohm's law in a differential form where I is the current density, σ is the conductivity, and E is the electric field.</p> Signup and view all the answers

<p>Internal emf is the electromotive force generated within a source of electrical energy, while terminal potential is the voltage measured across the terminals of the source under load.</p> Signup and view all the answers

<p>Kirchhoff's laws consist of two main rules: the junction rule, which states that the total current entering a junction equals the total current leaving it, and the loop rule, which states that the sum of the voltage drops around any closed circuit loop must equal zero.</p> Signup and view all the answers

<p>Electromagnetic waves have properties such as they travel at the speed of light in a vacuum, exhibit both electric and magnetic components, and can travel through a vacuum without a medium.</p> Signup and view all the answers

<p>The modified Ampere circuit law includes a term for the displacement current in situations where the electric field changes with time, allowing for the continuity of current even in non-conductive regions.</p> Signup and view all the answers

<p>Displaced currents are associated with changing electric fields and can contribute to magnetic fields in regions where there are no conductive materials. They are characterized by their relationship to the displacement current in Maxwell's equations.</p> Signup and view all the answers