Question

An Amperian loop is drawn around wires carrying current I1 and I2. The loop is irregular and folded over between the two currents, as shown by the arrows. The wires are inclined at angles ?1 and ?2 to the plane of the loop. What is the value of ? B ? ds moving in the direction shown around the loop? Amperian loop. a. ?0 (I1 - I2) b. ?0 (I2 cos ?2 + I1 cos ?1) c. ?0 (I2 cos ?2 - I1 cos ?1) d. ?0 (I1 + I2) e. ?0 (I2 - I1)

          An Amperian loop is drawn around wires carrying current I1 and I2. The loop is irregular and folded over between the two currents, as shown by the arrows. The wires are inclined at angles ?1 and ?2 to the plane of the loop. What is the value of ? B ? ds moving in the direction shown around the loop?
Amperian loop.
a. ?0 (I1 - I2)
b. ?0 (I2 cos ?2 + I1 cos ?1)
c. ?0 (I2 cos ?2 - I1 cos ?1)
d. ?0 (I1 + I2)
e. ?0 (I2 - I1)

An Amperian loop is drawn around wires carrying current I1 and I2. The loop is irregular and folded over between the two currents, as shown by the arrows. The wires are inclined at angles ?1 and ?2 to the plane of the loop. What is the value of ? B ? ds moving in the direction shown around the loop?
Amperian loop.
a. ?0 (I1 - I2)
b. ?0 (I2 cos ?2 + I1 cos ?1)
c. ?0 (I2 cos ?2 - I1 cos ?1)
d. ?0 (I1 + I2)
e. ?0 (I2 - I1)

Added by Jesse C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

05/04/2022

Step 1

Step 1: Recall Ampère's Law, which states that the line integral of the magnetic field \(\vec{B}\) around a closed loop is equal to \(\mu_0\) times the net current \(I_{\text{enc}}\) enclosed by the loop: \[ \oint \vec{B} \cdot d\vec{s} = \mu_0 I_{\text{enc}} \] Show more…

Show all steps

Thanks for your feedback!

An Amperian loop is drawn around wires carrying current I1 and I2. The loop is irregular and folded over between the two currents, as shown by the arrows. The wires are inclined at angles θ1 and θ2 to the plane of the loop. What is the value of ∮ B ⋅ ds moving in the direction shown around the loop? Amperian loop. a. μ0 (I1 - I2) b. μ0 (I2 cos θ2 + I1 cos θ1) c. μ0 (I2 cos θ2 - I1 cos θ1) d. μ0 (I1 + I2) e. μ0 (I2 - I1)