Related InterviewSolutions

• There is a conducting ring of radius `R`. Another ring having current `i` and radius `r (r lt lt R)` is kept on the axis of bigger ring such that its center lies on the axis of bigger ring at a distance `x` from the center of bigger ring and its plane is perpendicular to that axis. The mutual inductance of the bigger ring due to the smaller ring isA. `(mu_(0)piR^(2)r^(2))/((R^(2) + x^(2))^(3//2))`B. `(mu_(0)piR^(2)r^(2))/(4(R^(2) + x^(2))^(3//2))`C. `(mu_(0)piR^(2)r^(2))/(16(R^(2) + x^(2))^(3//2))`D. `(mu_(0)piR^(2)r^(2))/(2(R^(2) + x^(2))^(3//2))`
• The capacitor of an oscillatory circuit of frequency `10000 Hz` is enclosed in a container. When the container is evacuated, the frequency changes by`50 Hz`, the delectric constant of the gas isA. `1.1`B. `1.01`C. `1.001`D. `1.0001`
• The total heat produced in resistor `r` in an `RL` circuit when the current in the inductor decreases from `I_(o)` to `0` isA. `LI_(0)^(2)`B. `(1)/(2) LI_(0)^(2)`C. `(3)/(2) LI_(0)^(2)`D. `(1)/(3) LI_(0)^(2)`
• A uniform but time-varying magnetic field B(t) exists in a circular region of radius a and is directed into the plane of the paper, as shown. The magnitude of the induced electric field at point P at a distance r from the centre of the circular region A. is zeroB. decreases as `1//r`C. increases as `r`D. decreases as `1//r^(2)`
• Figure shows two circular regions `R_(1)` and `R_(2)` with redii `r_(1) = 21.2 cm` and `r_(2) = 32.3 cm`, respectively. In `R_(1)` there is a uniform magetic field `B_(1) = 48.6 mT` into the page and in `R_(2)` there is a uniform magnetic field `B_(2) = 77.2 mT` out of the page (ignore any fringing of these fields).Both fields are decreasing at the rate `8.50 mT s^(-1)`. Calculate the intergal `oint vec(E). vec(dl)` for each of the three identical paths.
• Derive an expression for the total magnetic energy stored in two coils with inductances `L_(1)` and `L_(2)` and mutual inductance `M`, when the currents in the coils are `I_(1)` and `I_(2)`, respectively.
• Figure shows five lettered regions in which a uniform magnetic field extends directly either out of the page (as in region `a`) or into he page. The field is increasing in magnitude at the same steady rate in all five regions, the regions are identical in area. Also shows are four numbered paths along which `oint vec(E). vec(dl)` has the magnitudes given below in terms of a quantity mag. Determine whether the magnetic fields in regions `b` through `e` are directed into ot out of the page. ? `|{:("Path",1,2,3,4),(oint vec(E).vec(dl),mag,2(mag),3(mag),0):}|`
• A magentic field directed into the page changes with time according to `B = (0.0300t^(2) + 1.4.40)T`, where `t` is in seconds. The field has a circular cross section of radius `R = 2.50 cm`. What are the magitude and direction of the electric field at point `P_(1)` when `t = 3.00 s` and `r_(1) = 0.0200 m`?
• If `epsilon_0` and `mu_o` are, respectively, the electric permittivity and magnetic permeability of free space, `epsilon` and `mu` the corresponding quantities in a medium, the index of refraction of the medium in terms of the above parameters is….
• In an `LC` circuit as shows in Fig. the switch is closed at `t = 0`.`Q_(max) = 100 mu C`, `L = 40 mH`, `C = 100 mu F`. a. Determine the equation for instantaneous change on the capacitor. b. Determine the equation for instantaneous current in the circuit.