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Question: A 10 m long copper wire while remaining in the east-west horizontal direction is falling down with a...

A 10 m long copper wire while remaining in the east-west horizontal direction is falling down with a constant speed of 5.0 m/s. If the horizontal component of the earth's magnetic field 0.30×10−4Weber/m20.30 \times 10^{−4} Weber/m^2 .
What is the instantaneous value of the e.m.f induced in water?

Explanation

Solution

Hint
Electromotive force is defined as the electric potential produced by either an electrochemical cell or by changing the magnetic field. EMF is the commonly used acronym for electromotive force. A generator or a battery is used for the conversion of energy from one form to another.

Complete step by step answer
Here, according to the question,
Length of the wire, l = 10m
Speed, V = 5m/s
Given that Earth's magnetic field , B = 0.30×10−4Wbm−20.30 \times 10^{−4} Wbm^{−2}
We know,
Instantaneous value of e.m.f induced in the wire , according to the formula,
e=BIV{e = BIV}
⇒e=0.30 × 10−4× 10 × 5.0{ \Rightarrow e = 0.30{\text{ }} \times {\text{ }}{{10}^{ - 4}} \times {\text{ }}10{\text{ }} \times {\text{ }}5.0}
⇒e=1.5×10−3V{ \Rightarrow e = 1.5 \times {{10}^{ - 3}}V} .

Note
The Earth's magnetic field is the magnetic field that surrounds the Earth. It is sometimes called the geomagnetic field. The Earth's magnetic field is created by the rotation of the Earth and Earth's core. It shields the Earth against harmful particles in space.