Question Part Points Submissions Used Two long wires hang vertically. Wire 1 car

Question

Question Part Points Submissions Used Two long wires hang vertically. Wire 1 carries an upward current of 2.00 A. Wire 2, 20.0 cm to the right of wire 1, carries a downward current of 4.20 A. A third wire, wire 3, is to be hung vertically and located such that when it carries a certain current, each wire experiences no net force. (a) Is this situation possible? YesNo    
Is it possible in more than one way? YesNo    
(b) Describe the position of wire 3. distance     cm direction     ---Select--- left of wire 1 right of wire 1
(c) Describe the magnitude and direction of the current in wire 3. magnitude     A direction     ---Select--- up down Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Question Part Points Submissions Used Two long wires hang vertically. Wire 1 carries an upward current of 2.00 A. Wire 2, 20.0 cm to the right of wire 1, carries a downward current of 4.20 A. A third wire, wire 3, is to be hung vertically and located such that when it carries a certain current, each wire experiences no net force. (a) Is this situation possible? YesNo    
Is it possible in more than one way? YesNo    
(b) Describe the position of wire 3. distance     cm direction     ---Select--- left of wire 1 right of wire 1
(c) Describe the magnitude and direction of the current in wire 3. magnitude     A direction     ---Select--- up down Two long wires hang vertically. Wire 1 carries an upward current of 2.00 A. Wire 2, 20.0 cm to the right of wire 1, carries a downward current of 4.20 A. A third wire, wire 3, is to be hung vertically and located such that when it carries a certain current, each wire experiences no net force. (a) Is this situation possible? YesNo    
Is it possible in more than one way? YesNo    
(b) Describe the position of wire 3. distance     cm direction     ---Select--- left of wire 1 right of wire 1
(c) Describe the magnitude and direction of the current in wire 3. magnitude     A direction     ---Select--- up down (a) Is this situation possible? YesNo    
Is it possible in more than one way? YesNo    
(b) Describe the position of wire 3. distance     cm direction     ---Select--- left of wire 1 right of wire 1
(c) Describe the magnitude and direction of the current in wire 3. magnitude     A direction     ---Select--- up down YesNo     YesNo     Question Part Points Submissions Used

Explanation / Answer

given,

current on wire 1 = 2 A (upward)

current on wire 2 = 4.2 A (downward)

distance between wire 1 and wire 2 = 20 cm

electric force per unit length on current carrying parallel wire = k * I1 * I2 / d

let at point x from wire 1, there is a wire with current I so,

magnetic field due to wire 1 and new wire at wire 2 = k * 2 / 0.2 - k * I / (0.2 + x)

k * 2 / 0.2 - k * I / (0.2 + x) = 0

2 / 0.2 - I / (0.2 + x) = 0 -------- (1)

magnetic field due to wire 2 and new wire at wire 1 = k * 4.2 / 0.2 - k * I / x

k * 4.2 / 0.2 - k * I / x = 0

4.2 / 0.2 - I / x = 0. ------------ (2)

on solving equation 1 and 2 we'll get

I = 3.8 A

x = 0.18 m

a) yes, this situation is possible

b) yes, it is possible in more than one way

c) position of wire 3 is 0.18 m or 18 cm left of wire 1

d) magnitude of current in wire 3 = 3.8 A, downward direction

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