Questions: Biot-Savart Direction A left B right C out of the screen D into the screen E B = 0 B = (q μ0 v × r̂) / (4 π r^2)

Transcript text: Biot-Savart Direction Unanswered $\cdot$ $\cdot$ 57 seconds left (This question text is only available on the projector A left B right C out of the screen D into the screen E $\vec{B}=0$ \[ \overrightarrow{\boldsymbol{B}}=\frac{q \mu_{0} \overrightarrow{\boldsymbol{v}} \times \hat{\boldsymbol{r}}}{4 \pi r^{2}} \]

Solution

Solution Steps

Step 1: Define the direction of r

The vector r points from the charge q to the point P where we are calculating the magnetic field. In this case, r points to the upper left.

Step 2: Apply the right-hand rule to the cross product

The Biot-Savart Law states that the magnetic field is proportional to the cross-product v x r. Using the right-hand rule, curl your fingers from v (pointing to the right) towards r (pointing to the upper left). Your thumb points out of the screen.

Step 3: Consider the sign of the charge

The charge q is negative. This flips the direction of the magnetic field found in the previous step. Therefore, the final direction of the magnetic field is into the screen.

Final Answer: The final answer is D.

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!