Problem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, a where Q = 3.4 A/s is a constant. b Part (a) Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a, b, Q, t, r, and fundamental constants. Expression : B(t) =

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Problem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm from
a long wire carrying a current that varies with time at a constant rate, i.e.
I(t) = Qt,
a
where Q = 3.4 A/s is a constant.
Part (a) Find an expression for the magnetic field due to the wire as a function of timet at a distance r from the wire, in
terms of a, b, Q, t, r, and fundamental constants.
Expression :
B(t) =
Select from the variables below to write your expression. Note that all variables may not be required.
B, y, Ho, T, 0, d, g, h, j, m, n, P, Q, r, t
Part (b) What is the magnitude of the flux through the loop? Select the correct expression.
SchematicChoice :
HoQat
In
27
HoQa
In
HOQat
1
1
In
(b+a)2
h2
HoQa
In
1
1
HoQat
HOQat
In
In
6+ a
Ф—
(b+ a)²
(b+a)2
12
2т
h2
Part (c) If the loop has a resistance of 3.5 Q, how much induced current flows in the loop?
Numeric : A numeric value is expected and not an expression.
I =
Part (d) In what direction does this current flow?
MultipleChoice :
1) Clockwise
2) To the left.
3) There is no current
4) Counterclockwise
5) To the right
Transcribed Image Text:Problem 7: A square loop of side length a =3.6 cm is placed a distance b = 0.65 cm from a long wire carrying a current that varies with time at a constant rate, i.e. I(t) = Qt, a where Q = 3.4 A/s is a constant. Part (a) Find an expression for the magnetic field due to the wire as a function of timet at a distance r from the wire, in terms of a, b, Q, t, r, and fundamental constants. Expression : B(t) = Select from the variables below to write your expression. Note that all variables may not be required. B, y, Ho, T, 0, d, g, h, j, m, n, P, Q, r, t Part (b) What is the magnitude of the flux through the loop? Select the correct expression. SchematicChoice : HoQat In 27 HoQa In HOQat 1 1 In (b+a)2 h2 HoQa In 1 1 HoQat HOQat In In 6+ a Ф— (b+ a)² (b+a)2 12 2т h2 Part (c) If the loop has a resistance of 3.5 Q, how much induced current flows in the loop? Numeric : A numeric value is expected and not an expression. I = Part (d) In what direction does this current flow? MultipleChoice : 1) Clockwise 2) To the left. 3) There is no current 4) Counterclockwise 5) To the right
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