Question

Please help with #5 and #6!! Please show work if possible, thank you!!

Current Carrying Wires: Fields and Forces ---- ---- = 3A yo x =10 cm A long wire carrying is placed 10 cm away from the center of a loop carrying 3 A of current, clockwise as seem from above. The loop itself has a diameter of 4 cm. 1. What is the magnitude of the magnetic field, Bloop, created by the loop at its center? 2. What direction does it point? Use the RHR by following your fingers along the outside of the loop in the direction of current. Your thumb points in the direction of Bloop 3. What direction does the magnetic field from the wire Bwire point near the loop? Use the RHR where your thumb points along the current and you wrap your fingers around the wire. As you wrap around the front of the wire, which way do your fingertips point when you hit the loop? 4. How much current must flow in the wire to perfectly cancel out Bloop in the center? 5. What is the magnitude of Blett, Bright, Btop, and Bottom around the loop from the wire? 6. What is the magnitude and direction of the forces, Fleft, Fright, FTop, and FBottom, acting on a 1cm section of the loop at that location? 7. What is the magnitude and direction of the torques, Trett, Tright, Trop, and Bottom? Use the center of the loop as your point of rotation. We cannot use the torque equation derived in class because this is not a uniform magnetic field (as seen from 5) (Hint: remember that torque is a cross product like magnetic force. Look at the vector directions/angles] 8. Find Fnet and tNet on the loop. Remember that these are vector quantities. Will the loop move or rotate? If so, in which direction(s)?

Answer 1

Solution low Current flowing across the loop. I loop - 34 along anticlock wire direction Los Circular loop is at a distance of toom from brise. as shown in figure Ке Magnetic feied at created by loop at the center of loop is given by formulla Bo lo I I Mo= 4x+107 Tula a 2h , r = radius z Coop. - 44x107x3 4x3.14 x 165x37 2x2x102 E = 9.42X10ST

Solution low Current flowing across the loop. I loop - 34 along anticlock wire direction Los Circular loop is at a distance of toom from brise. as shown in figure Ке Magnetic feied at created by loop at the center of loop is given by formulla Bo lo I I Mo= 4x+107 Tula a 2h , r = radius z Coop. - 44x107x3 4x3.14 x 165x37 2x2x102 E = 9.42X10ST

B " l in Wine brand Rule Reque hand rule is wied to determine delleert direction of Magnetu find. In case of Cicenter loop. Cual the fingers in the direction 8 Carlent thans fines direction of Magnetic Seeed. In this case Magnetic feild is outside the Plane of coil if coll lies in x-y place g twe z directions As the current in wire is twe y asies putting By Right hand hele placing thumb in the direction g Current Curling 8 I wes direction budeme lower Magnetic feied in of Magnetic feild neer Along ive 3.0x tas en onder lo careed Magneti feind at center og bor Circentar loop Magnetic fried due Cuentan loop should be equal and opposite to Hahnete feied due to wire y

Let Current in streight Wire - I were Brinel = 1 Bloop! to nulify Magnetic fried at Center of loop. Magneti feied due loop should be equal and opposite to Magnetic feied due to were at Center of loop. Burine - Bump Kro I loop dro Iwire 2व I wire = F dI loop = 3.14 x 10 x 3 x 10 = 47.14 2018?