write the dimensions of magnetic field
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Explanation:
CGS Units
Quantity Symbol Dimensions
Magnetic field strength H L-1I
Magnetic flux ML2T-2I-1
Magnetic Induction (Magnetic flux density) B MT-2I-1
Magnetic permeability MLT-2I-2
We have the equation,
F=qvBsinθ
Dimension of Force, F=[MLT
−2
]
Dimension of Velocity, v=[LT
−1
]
Dimension of Charge, q=[AT]
Sinθ is dimensionless
Then,
Magnetic Field, B=
Velocity×Charge
Force
=
[LT
−1
][AT]
[MLT
−2
]
=[MT
−2
A
−1
]