The current through a wire depends on time as

Asked by admin @ 13/08/2021 in Physics viewed by 253 People

The current through a wire depends on time as i = i0 + a sin pi t where i0 = 10 A, a = pi/2 find charge crossed through a section of wire in 3 seconds

Answered by admin @ 13/08/2021

Answer ⇒ The Current flows in three seconds is 33.14 C.

Explanation ⇒

i = i₀ + aSinπ/2

Now,

$q = \int\limits^3_0 {i_0} \, dt + \int\limits^3_0 {aSin\pi t} \, dt$

thus, $q = i_0\int\limits^3_0 {t^0} \, dt + a\int\limits^3_0 {Sin\pi t} \, dt$

Therefore,

$q = i_0[t]_0^3 + a[-Cos\pi t]^3_0$

$q = i_0[t]_0^3 - a[Cos\pi t]^3_0$

q = 10 × [3 - 0] - π/2 × [Cos3π - Cos0]

q = 30 - π/2[-1 -1]

q = 30 + π

q = 33.14 C

Hope it helps.

The current flowing through a wire depends on time as

Asked by admin @ 06/08/2021 in Physics viewed by 243 persons

The current flowing through a wire depends on time as I = 3t^2+ 2t + 5. The charge flowing through the cross-section of the wire in time from t = …

A wire carrying current i and other carrying 2i

Asked by admin @ 17/08/2021 in Physics viewed by 268 persons

A wire carrying I and other carrying 2 I in the same direction produce a magnetic field B at the midpoint. What will be the field when 2 I wire …

A circular coil of wire carries a current pq

Asked by admin @ 17/08/2021 in Physics viewed by 402 persons

A circular coil of wire carries a current pq is part of a very long wire carrying a current and passing close to the circular coil. If the direction of …

When the current is switched on through a wire

Asked by admin @ 13/08/2021 in Science viewed by 275 persons

when the current is switched on through a wire a compass needle kept nearby gets deflected from its north south position explain

A current can be produced in a coil of wire

Asked by maham237 @ 03/06/2021 in Physics viewed by 306 persons

when a core of iron rests in the coil as a core of iron is being thrust through the coil when a magnet rests in the coil as a magnet …

A constant current flows in a horizontal wire

Asked by admin @ 29/08/2021 in Science viewed by 316 persons

9. A constant current flows in a horizontal wire in the plane of the paper from east to west . The direction of magnetic field at a point will be …

A long straight wire carries a current of 10a

Asked by admin @ 20/08/2021 in Physics viewed by 286 persons

A long straight wire carries a current of 10a. An electron travels with a speed of 5 x 10^6 m/a parallel to the wire 0.1m away from it. The force …

A current carrying wire is placed in the grooves

Asked by admin @ 20/08/2021 in Physics viewed by 268 persons

A current carrying wire is placed in the grooves of an insulating semi circular disc of radius r as shown the current enters at point a and leaves from point …

Amount of heat produced in a wire depends on

Asked by admin @ 13/08/2021 in Science viewed by 293 persons

The amount of heat produced in a wire depends upon its

What does an electric current carrying wire behaves like

Asked by admin @ 13/08/2021 in Physics viewed by 296 persons

What does an electric current carrying wire behaves like ?

A very long straight wire carries a current i

Asked by admin @ 13/08/2021 in Physics viewed by 279 persons

A very long straight wire carries a current I. At the instant when a charge + Q at point P has velocity v ⃗, as shown, the force on the …

Find the time required for a 50hz alternating current

Asked by admin @ 13/08/2021 in Physics viewed by 276 persons

Find the time required for a 50 Hz alternating current to change its value from zero to the rms value.

A long straight wire carries a current of 35a

Asked by admin @ 11/08/2021 in Physics viewed by 287 persons

A long straight wire carries a current of 35 A.what is the magnitude of magnetic field at a point distance 20 cm from the wire.

The persistence of learning over time most clearly depends on

Asked by admin @ 02/08/2021 in Computer Science viewed by 223 persons

The persistence of learning over time most clearly depends on A) memory B) visual encoding C) chunking D) shallow processing

Electrical resistivity of a metallic wire depends on

Asked by admin @ 29/08/2021 in Chemistry viewed by 279 persons

Electrical resistivity of a given metallic wire depends upon (a) its length (b) its thickness (c) its shape (d) nature of the material NCERT Class X Science - Exemplar Problems …