Physics, 21.10.2020 04:01 amarshall90

If you were unfortunate enough to be 5.5 mm away from such a lightning bolt, how large a magnetic field would you experience

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Answer from: obryonshaniya10

The question is incomplete. Here is the complete question.

Lightning bolts can carry currents up to approximately 20kA. We can model such a current as the equivalent of a very long, straight wire.

(a) If you were unfortunate enough to be 5.5m away from such a lightning bolt, how large a magnetic field would you experience?

(b) How does this field compare to one you would experience by being 5.5cm from a long, straight household current of 5A?

(a) B = 7.27 x 10⁻⁴ T

(b) Approximately 40 times higher than a household one.

Explanation: Using Biot-Savart Law, the magnetic field in a straight, long wire is given by

$B=\frac{\mu_{0}I}{2.\pi.r}$

where:

$\mu_{0}$ (permeability of free space) = $4.\pi.10^{-7}$ T.m/A

(a) If lightning bolt is compared to a long and straight wire, then magnetic field is

$B=\frac{4.\pi.10^{-7}.10.10^{3}}{2.\pi.5.5}$

B = 7.27 x 10⁻⁴ T

The magnitude of magnetic field in a lightning bolt is 7.27 x 10⁻⁴ T

(b) Magnetic field in a household wire will be

$B=\frac{4.\pi.10^{-7}.5}{2.\pi.5.5.10^{-2}}$

B = 1.82 x 10⁻⁵ T

Comparing fields:

$\frac{7.27.10^{-4}}{1.82.10^{-5}}$ ≈ 40

The filed for a lightning bolt is approximately 40 times higher than for a household wire.

Answer from: Quest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

Answer from: Quest

Iam looking for this answer too!

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