Question

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

Thanks so much for answering!!! ❤️

Answer 1

A) 6×10⁻⁶ Tesla's

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

Step-by-step explanation:

Given:

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

Magnetic field strength at point P =
`H = 6* 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* 10^6\ Wb/Mm^2 = (6* 10^6)/(1* 10^(12))\ Wb/m^2\\\\ = 6*10^6* 10^(-12) = 6* 10^((6-12)) \\\\ H= 6* 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* 10^((-6))\ Wb/m^2= 6* 10^((-6))\ T`

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