For problem 55(a) calculate the radial distance in cm ifthe current in the wire is 5.07 A. (5 sig figs) 55 SSM ILW www A long solenoid with 10.0 turns/cm and aradius of 7.00 cm carries a current of 20.0 mA. A current of 6.00 Aexists in a straight conductor located along the central axis of the sole-noid. (a) At what radial distance from the axis will the direction of theresulting magnetic field be at 45.0° tothe axial direction? (b) What is the QUESTION 5For 29.55.a calculate the radial distance in cm ifthe current in the wire is 5.07 A. 5 sig. figs.

Radial distance in cm if the current in the wire is 5.07 A. Given, No. of turns per unit lengthNL=n=10.0 turns per cm=10.01×10-2 turns per m.radius of solenoidR=7.0 cm=7.0×10-2 mCurrentI in the straight conductor=5.07 ACurrentIs in solenoid=20.0 A=20.0×10-3 ADirection of magnetic fieldα=45o let the magnetic field due to solenoid is B1 then,B1=μonIswhereIs is current through solenoidn is no. of turnsNow,let the radial distance from the wire is r also,let the magnetic field due to wire is B2 then,B2=μoI2πrI is current in straight conductorFor the resultant to be at 45o,B1=B2substituting values from above,μonIs=μoI2πr⇒r=I2πnIsSubstituting values,r=5.07 A2π1000 turns per m20.0×10-3 A=0.040345 mOr, r=4.0345 cmTherefore, Radial distance in cm is 4.0345 cm.

Answered: 55 SSM ILW www A long solenoid with…