A long solenoid of cross-sectional radius `a` has a thin insulates wiere ring tightly put on its winding, one half of the ring has the resistance `eta` times that of the other half. The magneticv induction produced by the solenoid varies with the time as `B = bt`, where `b` is a constant. Find the magnitude of the electric field strength in the ring.
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A tightly wound solenoid of length l and cross sectional area `A_(1)` is partly inserted co-axially into another tightly wound solenoid of length l an
Correct Answer - `(mu_(0)I^(2)N^(2))/(2l^(2)) [3A_(1) - 2A_(1)x +A_(2)l]`
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A thin solenoid is made of a large number of turns of very thin wire tightly wound in several layers. The radii of innermost and outermost layers are
Correct Answer - `(mu_(0)piN^(2)(3a^(2)+2ab+b^(2)))/(6L)`
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A current `I` flows in a long single layer solenoid with cross-sectional radius `R`. The number of turns per unit length of the solenoid equals `n`. F
Correct Answer - `I=sqrt((2sigma)/(mu_(0)nR))`
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A tightly- wound, long solenoid is kept with its axis parallel to a large metal sheet carrying a surface current. The surgace current through a width
Correct Answer - [(a) `(i)/(2n)`; (b) `(mu_(0)i)/(sqrt2)`]
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A long solenoid having 1000 turns per cm carries an alternating current of peak value 1 A. A search coil having a cross-sectional area of `1xx10^(-4)
Correct Answer - `15.8 s^(-1)`
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In a long staright solenoid with cross-sectional radius `a` and number of turns per unit length `n` a current varies with a constant velocity` dotI A/
Correct Answer - For `r lt a, (1)/(2)rmu_(0) " nl and for " r gt a, (1)/(2)(a^(2)mu_(0)nI)/(r )`
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A solenoid 1.0 m long and 0.05 m in diameter, has 700 turns. Another solenoid of 50 turns is tightly wound over the first solenoid. Find (i) the mutua
Correct Answer - `0.86muH,4.3xx10^(-4)`V
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vi)A metallic wire of length \( L \) and cross sectional area \( A \) has a resistance \( R \). Two wires of same material,length \( L / 2 \) and cross sectional area \( 3 A \) are connected in series. The combination has resistance of a) \( R / 6 \) b) R/3 c) \( 3 R \) d) \( 6 R \)
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