To solve for \( B \) in the equation:

\[
F = -m + \frac{B}{q^3}
\]

### Steps:

1. Start with the given equation:
   \[
   F = -m + \frac{B}{q^3}
   \]

2. Add \( m \) to both sides to isolate \( \frac{B}{q^3} \):
   \[
   F + m = \frac{B}{q^3}
   \]

3. Multiply both sides by \( q^3 \) to solve for \( B \):
   \[
   B = (F + m)q^3
   \]

Thus, the solution is:
\[
B = (F + m)q^3
\]

Would you like more details or have any other questions? Here are five related questions for further exploration:

1. How would the equation change if \( F \) is dependent on \( q \)?
2. What happens to \( B \) if \( q \) approaches zero?
3. Can this formula be applied in an electrical context, such as finding magnetic fields?
4. How does varying \( m \) affect the value of \( B \)?
5. How can dimensional analysis help in understanding this equation?

**Tip:** Always check if you need to isolate a variable by reversing operations like addition, multiplication, or division.

Learn how to solve for B in the equation F = -m + B/q^3 with a detailed step-by-step solution. This problem demonstrates algebraic concepts like variable isolation and applying basic operations to both sides of an equation. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation