In a lightning bolt, 16 C of charge flows in a time of 1.5 10-3 s. Assuming that the lightning bolt can be represented as a long, straight line of current, what is the magnitude of the magnetic field at a distance of 24 m from the bolt?
please tell me where I am going wrong.
B = (N)(permeability of free space consant)(I =charge/time) / 2R
B = (1)(4pi x 10^-7)(16/1.5 x 10^-3) / 2(24)
B = 0.000279289 T
this answer is incorrect. please help!
There should be a pi in the denominator of Ampere's law.
To find the magnitude of the magnetic field at a distance of 24 m from the lightning bolt, you need to use the formula:
B = (mu0 * I) / (2 * pi * R)
Where:
- B is the magnitude of the magnetic field
- mu0 is the permeability of free space constant (mu0 = 4pi x 10^-7 T*m/A)
- I is the current (charge/time)
- R is the distance from the lightning bolt
Now, let's plug in the values:
B = (4pi x 10^-7 T*m/A) * (16 C / 1.5 x 10^-3 s) / (2 * pi * 24 m)
First, simplify the equation by canceling out the pi terms:
B = (4 x 10^-7 T*m/A) * (16 C / 1.5 x 10^-3 s) / (2 * 24 m)
Next, simplify the equation further by reducing the units:
B = (4 x 10^-7 * 16 / 1.5 x 10^-3) T*m/A * C/s * 1/m
Now, perform the calculations:
B = 42.6666... T*m/A * C/s * 1/m
Finally, simplify the units:
B = 42.6666... T
So the magnitude of the magnetic field at a distance of 24 m from the lightning bolt is 42.67 T.
It appears that you forgot to cancel out the pi terms, resulting in the incorrect answer.