As per the given parameters, the following can be understood:
- The number of turns, n = 500
- Area, A = 4cm2 = 4 × 10−4m2
- Resistance of closed coil, R = 500Ω
- Magnetic field, B = 0.2wb/m2
Thus, in order to estimate the amount of charge flowing through the coil, we need to:
Magnetic flux can be expressed by the following formula,
| ϕ = nBAcosθ |
Where,
- n = Number of turns
- B = Magnetic field
- A = Area
- θ = Angle between Area vector and Magnetic Field
Assuming estimate the change in magnetic flux when it is turned over (with rotation of 180 degrees). Thus,
⇒ △ϕ = nBAcos0 − (nBAcos180)
Let us simplify the expression.
△ϕ = nBA + nBA = 2nBA
= 2 × 500 × 0.2 × 4 × 10−4
⇒ △ϕ = 8×10−2
Therefore, the charge that flows through the area can be expressed by the following formula.
△Q = △ϕ/resistance = 8×10−2/500
=1.6 × 10−4C
=0.16 × 10−3C
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