Q24 The Fig. E9 shows the cross-sectional view of the hollow cylindrical conductor with inner radius R and outer radius 2R, a cylinder is carrying uniformly distributed current along its axis. What will be the magnetic field induction at point P at a distance 3R/2 from the cylinder's axis? (1) (ii) (1) B = 27(3R/2)x 5μ,I (iii) B= 54mrR (iv) None of the mentioned options. B (ii) B= B= Hol 2mx (²-a²/b²-a²) Hol (3R/2)-R²/(2R)-R² B = мол 2πrx(²-a²/b²-a²) Mol 27(3R/2)× (3R/2)- R² /(2R)²³ - R² 5μ,1 54m™R (iv) None of the mentioned options. 2R Fig. E9 3R/2

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Q24 The Fig. E9 shows the cross-sectional view of the hollow cylindrical conductor with inner radius
R and outer radius 2R, a cylinder is carrying uniformly distributed current along its axis. What will be
the magnetic field induction at point P at a distance 3R/2 from the cylinder's axis?
(1)
(ii)
(1)
B =
5μ,I
54mm R
(iv) None of the mentioned options.
(iii) B=
B =
(ii)
B=
(iii)
B:
Hol
2mrx (²-a²/b²-a²)
27(3R/2)x(3R/2)-R² /(2R) - R²
B =
Hol
2mx²-a²1b²-a²)
моя
27(3R/2)×[(3R/2) – R² /(2R)²³ − R²]
-
5μ,1
54m R
(iv) None of the mentioned options.
2R
Fig. E9
3R/2
Transcribed Image Text:Q24 The Fig. E9 shows the cross-sectional view of the hollow cylindrical conductor with inner radius R and outer radius 2R, a cylinder is carrying uniformly distributed current along its axis. What will be the magnetic field induction at point P at a distance 3R/2 from the cylinder's axis? (1) (ii) (1) B = 5μ,I 54mm R (iv) None of the mentioned options. (iii) B= B = (ii) B= (iii) B: Hol 2mrx (²-a²/b²-a²) 27(3R/2)x(3R/2)-R² /(2R) - R² B = Hol 2mx²-a²1b²-a²) моя 27(3R/2)×[(3R/2) – R² /(2R)²³ − R²] - 5μ,1 54m R (iv) None of the mentioned options. 2R Fig. E9 3R/2
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Follow-up Question
Q23 The Biot-Savart law which is based on the experimental observation that a steady current in a
wire produces a magnetic field at some point in space. The following mathematical expression,
dB
Ho Ids x
r
4π 12
is based on the following observations for the magnetic field dB at some point P
associated with a length element ds of a wire carrying a steady current I. State if these statements are
true or false in relation to the Biot-Savart law;
(8)
(ii) The magnitude of dB is inversely proportional to r2, where r is the distance from ds to P.
O True
O False
Transcribed Image Text:Q23 The Biot-Savart law which is based on the experimental observation that a steady current in a wire produces a magnetic field at some point in space. The following mathematical expression, dB Ho Ids x r 4π 12 is based on the following observations for the magnetic field dB at some point P associated with a length element ds of a wire carrying a steady current I. State if these statements are true or false in relation to the Biot-Savart law; (8) (ii) The magnitude of dB is inversely proportional to r2, where r is the distance from ds to P. O True O False
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