Two concentric current loops lie in the same plane. The smaller loop has a radius of 3.4 cmcm and a current of 12 AA. The bigger loop has a current of 20 AA . The magnetic field at the center of the loops is found to be zero.
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Ответ:
Explanation:
Given that,
Current in loops are
i1 = 12A
i2 = 20A
The loops are 3.4cm apart
The magnetic field at the center is found to be zero, so when want to find the radius of bigger loop
Magnetic Field is given as
B= μoi/2πr
Where,
μo is a constant = 4π×10^-7 Tm/A
r is the distance between the two wires
i is the current in the wires
B is the magnetic field
NOTE
Field due to large loop should be equal to the smaller loop.
B1 = B2
μo•i1 / 2π•r1 = μo•i2 / 2π•r2
Then, μo, 2π cancels out, so we have
i1 / r1 = i2 / r2
Make r2 subject of formula
i1•r2 = i2•r1
r2 = i2•r1 / i2
r2 = 20×3.4/12
r2 = 5.67cm
The radius of the bigger loop is 5.67cm.
Ответ:
Step-by-step explanation:
We know that on a standard number cube, there are total 6 outcomes.
The number written on a standard number cube = 1,2,3,4,5,6
Prime numbers = 2,3,5
Now, the theoretical probability of rolling a prime number on a standard number cube will be :_
Hence, the theoretical probability of rolling a prime number on a standard number cube =