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Malus' law
I = I₀ cos²θ
Where: I = moment of inertia (kg·m²) / current (A), I₀ = I₀, θ = angle
Solved example
Given: I_0 = 7, theta = 45°
Find: I (moment of inertia (kg·m²) / current (A))
- Formula: I = I₀·cos(θ)²
- Substitute the values: I = 7·cos(45°)²
- Result: I = 3.5
Answer: I = 3.5
Calculator
How to calculate Malus' law
- Write down the formula: I = I₀ cos²θ.
- Note the known values (I₀, θ).
- Substitute them and simplify to find I.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Malus' law?
The formula is I = I₀ cos²θ, where I = moment of inertia (kg·m²) / current (A), I₀ = I₀, θ = angle.
What is Malus' law when I_0 = 7, theta = 45°?
I = 3.5. Substitute the values into I = I₀ cos²θ and simplify.
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