A rectangular coil of area `5.0xx10^-4m^2` and `60` turns is pivoted about one of its vertical sides. The coil is in a radial horizontal magnetic field of `9xx10^-3T`. What is the torsional constant of the spring connected to the coil if a current of `0.20mA` produces an angular diflection of `18^@`?
Text Solution
Verified by Experts
From the equation, `i=(k/(NAB))phi` We find that torsional constant of the spring is given by `k=(NABi)/phi` Substituting the values is `SI` units we have `k=((60)(5.0xx10^-4)(9xx10^-3)(0.2xx10^-3))/18` `=3xx10^-9N-m//degree`
Topper's Solved these Questions
MAGNETICS
DC PANDEY|Exercise Exercise|160 Videos
MAGNETICS
DC PANDEY|Exercise INTRODUCTORY EXERCISE|1 Videos
MAGNETIC FIELD AND FORCES
DC PANDEY|Exercise Medical entrance s gallery|59 Videos
MAGNETISM AND MATTER
DC PANDEY|Exercise Medical gallery|1 Videos
Similar Questions
Explore conceptually related problems
A rectangular coil of area 5.0 xx 10^(-4)m^(2) and 60 turns is pivoted about one of its vertical sides. The coil is in a radial horizontal magnetic field of 9 xx 10^(-3) T . What is the torsional constant of the spring connected to the coil if a current of 0.20mA produces an angular deflection of 180^(@) ?
A rectangular coil of area 5.0xx10^(-4) m^2 and 60 turns is pivoted about one of its vertical sides. The coil is in a radial horizontal field of 90 G (radial here means the field liners are in the plane of the coil for any rotation). What is the torsional constant of the hair spring connected to the coil if a current of 2.0 mA produces an angular deflection of 18^@ ?
A rectangular coil of area 5.0 xx 10^(-4) m^(2) and 40 turns is pivoted about one of its vertical sides. The coil is in a horizontal field of 80 gauss. If a current of 0.20 mA produces an angular deflection of 20^(@) , then the torsional constant of the hair spring connected to the coil is (in Nm/degree)
The rectangular coil of a moving coil galvanometer has area of 8 xx 10^(-4) m^(2) and 100 turns. The coil is kept in a radial horizontal magnetic field of 0.2 T. Calculate the restoring torque constant of hair spring connected to coil when current of 4 xx 10^(-5) A passes through it and deflects the scale by 20^(@) .
A vertical rectangular coil of sides 5 cm xx 2 cm has 10 turns and carries a current of 2A . The torque ( couple) on the coil when it is placed in a uniform horizontal magnetic field of 0.1T with its plane perpendicular to the field is
A rectangular coil of N turns, with each turn of length 6 cm and breadth 8 cm is suspended freely in a magnetic field of strength 90 G. The field lines are in the plane of the coil. The torsional constant of the hair springs connected to the coil is 3 xx 10^(-9) Nm/deg and a current of 5 muA through the coil deflects it through on angle of 20^(@) . What is the value of N?
A circular coil of cross-sectional area 200 cm^(2) and 20 turns is rotated about the vertical diameter with angular speed of 50 rad//s in a uniform magnetic of 3.0 xx 10^(-2) T . Calculate the maximum value of current in the coil.
A rectangular coil of a moving coil galvanometer has 50 turns and an area of 12cm^2 . It is suspended in a radial magnetic field of induction 0.025 Wb//m^2 . The torsional constant of the suspension fibre is 1.5 xx10^-9 Nm/degree. The current required to produce the deflection of 5^@ is