Right hand rule for magnetic field due to a long straightcurrent: Magnetic field lines are a way to graphically representIthe magnetic field. The direction of B at any point is tangent tothe field line and the magnitude of B is proportional to thedensity of field lines. For the long straight wire, the magneticIfield lines form circles around the wire.There is a right hand rule for the direction in the magnetic fieldgo around the wire. Grasp the wire with your thumb in thedirection of the current. The direction your fingers wrap aroundthe wire is the direction that the B field lines go around thewire. Check that this agrees with your analysis of the longstraight wire from the previous problem.linesВMagnitude of magnetic field due to a long straight current:The magnitude of the magnetic field at a distance r due to avery long straight wire carrying current I can be derived fromdB Othe Biot-Savart law:HoI ds sin øHOID dsdB4π (s2+ D?) 4π(s2+ D2)3/2Dwhere we used sin o = D/Vs² + D². The magnitude of themagnetic field due to a very long (infinite) wire isdsSHOIDAn (s²+ D²)3/2dsHolB = S dB2nDThis is an important relationship that we use often.2. Two very long straight wires (treat as infinite) carry currents inthe direction shown.) for the magnetic field atDraw arrows (or writepoint P due to (i) the current I and (ii) the current 31.а.or2Lb. Determine the magnitude of the magnetic field at point P.LIVs2 + D2--31

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Answered: 2. Two very long straight wires (treat…

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2. Two very long straight wires (treat as infinite) carry currents in the direction shown. 31 Draw arrows (or write ) for the magnetic field at а. or point P due to (i) the current I and (ii) the current 31. 2L b. Determine the magnitude of the magnetic field at point P. P I