A current flows along the length of a thin walled, long metallic hollow cylinder of radius R, distributed uniformly on its surface. If the pressure on the wall is . Find the value of x.

Question

A current $I$ flows along the length of a thin walled, long metallic hollow cylinder of radius $R$ , distributed uniformly on its surface. If the pressure on the wall is $P = (\frac{μ_{0} I^{2}}{π^{2} R^{2}}) \times (\frac{1}{x})$ . Find the value of $x$ .

Smart Achievers · Accepted Answer

(8)

$d F = \frac{μ_{0}}{2 π a} {(\frac{i}{2 π R} d x)}^{2} l = \frac{μ_{0}}{2 π \times 2 R} \cdot \frac{i^{2}}{4 π^{2} R^{2}} \cdot d x \cdot d x \cdot l$

$Pressure on the element$

$= \frac{μ_{0}}{2 π \cdot 2 R} \cdot \frac{i^{2} d x}{4 π^{2} R^{2}} \cdot \frac{d x \cdot l}{d x \cdot l}$

Solution

Q.
A current $I$ flows along the length of a thin walled, long metallic hollow cylinder of radius $R$ , distributed uniformly on its surface. If the pressure on the wall is $P = (\frac{μ_{0} I^{2}}{π^{2} R^{2}}) \times (\frac{1}{x})$ . Find the value of $x$ .

Want Us to Email you About Special Offers & Updates?

Solution

Q. A current I flows along the length of a thin walled, long metallic hollow cylinder of radius R, distributed uniformly on its surface. If the pressure on the wall is P=(μ0I2π2R2)×(1x). Find the value of x.

Ans. (8) dF=μ02πa(i2πRdx)2l=μ02π×2R·i24π2R2·dx·dx·l Pressure on the element =μ02π·2R·i2 dx4π2R2·dx·ldx·l

Want Us to Email you About Special Offers & Updates?

Q.
A current $I$ flows along the length of a thin walled, long metallic hollow cylinder of radius $R$ , distributed uniformly on its surface. If the pressure on the wall is $P = (\frac{μ_{0} I^{2}}{π^{2} R^{2}}) \times (\frac{1}{x})$ . Find the value of $x$ .