1 weber is equal to how many tesla

Asked by maham237 @ 02/01/2021 in Mathematics viewed by 307 People

The strength of a magnetic field is measured in teslas. One tesla is equal to one weber per square meter, as follows: 1T=1 Wb/m^2

Divya is building a circuit for her physics class. Point P on one of her wires has a magnetic field strength of 6 • 10^6 webers per square mega meter, where 1 mega meter is equal to 10^6 meters. What is the magnetic field strength in Tesla’s?

A.) 6 • 10^-6 Tesla’s
B.) 6 • 10^0 Tesla’s
C.) 6 • 10^12 Tesla’s
D.) 6 • 10^18 Tesla’s

Answered by maham237 @ 02/01/2021

A) 6×10⁻⁶ Tesla's

The magnetic field strength at point P is equal to 6×10⁻⁶ Tesla's

Explanation:

Given:

$1\ T = 1\ Wb/m^2$ ..................................(1)

Magnetic field strength at point P = $H = 6\times 10^6\ Wb/Mm^2$ ...............(2)

$1\ Mm = 10^6\ m$ ............................................(3)

To calculate H in Tesla: ?

From equation (3), 1 mega meter is equal to 10⁶ meters. Hence, squaring (3) will give value of 1 square mega meter.

Squaring (3), we get

$1\ Mm^2 = (10^6)^2\ = 10^{12}\ m$ ..........................(4)

Substituting (4) in (2), we get

$H = 6\times 10^6\ Wb/Mm^2 = \frac{6\times 10^6}{1\times 10^{12}}\ Wb/m^2\\\\ = 6\times10^6\times 10^{-12} = 6\times 10^{(6-12)} \\\\ H= 6\times 10^{(-6)}\ Wb/m^2$ ........................(5)

From (1), since 1 Tesla is equal to 1 Wb/m²; equation (5) can be rewritten as

$H= 6\times 10^{(-6)}\ Wb/m^2= 6\times 10^{(-6)}\ T$

Therefore, the magnetic field strength at point P in Tesla's is equal to 6×10⁻⁶ T

1 weber is equal to how many tesla

Explanation:

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