A rectangular wire loop of sides 8 cm and 2 cm with a small cut is moving out of a region of the uniform magnetic field of magnitude 0.3 T directed normally to the loop. What is the e.m.f. developed across the cut if the velocity of the loop is 1 cm s⁻¹ in a direction normal to the (a) longer side, (b) shorter side of the loop? For how long does the induced voltage last in each case? (Answer: 2.4 x10⁻⁴ V, 2 s, & 0.6 x 10⁻⁴ V, 8 s)
Data Given:
Length of the wire loop = L = 8 cm = 0.08 m
Width of the wire loop = W = 2 cm = 0.02 m
Magnetic field = B = 0.3 T
Velocity of the loop = v = 1 cm s⁻¹ = 0.01 m s⁻¹
To Find:
(a) Induced e.m.f. in the longer side = ƐL = ?
(b) Induced e.m.f. in the shorter side = ƐS = ?
(c) Time taken by the induced voltage in each case i.e
tL = ? and tS = ?
Solution:
(a) The equation for the motional e.m.f. for longer side is given by:
ƐL = B l v
by putting values
ƐL = 0.3 T x 0.08 m x 0.01 m s⁻¹
ƐL = 0.00024 V
ƐL = 2.4 x 10⁻⁴ V ------------Ans. (1)
(b) The equation for the motional e.m.f. for the longer side is given by:
ƐS = B W v
by putting values
ƐS = 0.3 T x 0.02 m x 0.01 m s⁻¹
ƐS = 0.00006 V
ƐS = 0.6 x 10⁻⁴ V ------------Ans. (2)
(c) Time taken by the induced voltage in each case i.e. tL = ? and tS = ?
The general Formula for finding time is
t = Sv ∴[ S = v t}
Since the longer side moves along the width so the time taken by induced voltage for the longer side is
tL = Wv
putting values
tL = 0.02m0.01ms⁻¹
tL = 2 s ----------------Ans.
And the shorter side moves along the length so the time taken by induced voltage for the shorter side is
tS = Lv
putting values
tS = 0.08m0.01ms⁻¹
tS = 8 s ----------------Ans.
************************************
************************************
Shortcut Links For
1. Website for School and College Level Physics 2. Website for School and College Level Mathematics 3. Website for Single National Curriculum Pakistan - All Subjects Notes
© 2022-Onwards by Academic Skills and Knowledge (ASK)
Note: Write me in the comment box below for any query and also Share this information with your class-fellows and friends.
1. Website for School and College Level Physics
2. Website for School and College Level Mathematics
3. Website for Single National Curriculum Pakistan - All Subjects Notes
© 2022-Onwards by Academic Skills and Knowledge (ASK)
Note: Write me in the comment box below for any query and also Share this information with your class-fellows and friends.
0 Comments
If you have any QUESTIONs or DOUBTS, Please! let me know in the comments box or by WhatsApp 03339719149