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Questions and Answers
Match the following symbols with their meanings:
Match the following symbols with their meanings:
B = Magnetic field μo = Permeability of free space H = Henry V = Voltage
Match the following variables with their descriptions:
Match the following variables with their descriptions:
q = Charge θ = Angle k = Proportionality constant B = Magnetic field strength
Match the following constants with their values:
Match the following constants with their values:
μo = 4π x 10^-7 H/m π = Approximately 3.14 k = 4π θ = Angle in radians
Match the following terms with their categories:
Match the following terms with their categories:
Match the following equations with their components:
Match the following equations with their components:
Match the following components with their meanings:
Match the following components with their meanings:
Match the following terms with their definitions:
Match the following terms with their definitions:
Match the following units with their associated physical quantities:
Match the following units with their associated physical quantities:
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Study Notes
Magnetic Field Due to a Moving Point Charge
- A point charge +Q moves in a straight line with velocity $\vec{v}$.
- At a distance $r$ from the charge Q, a point P experiences a magnetic field.
- The magnetic field (B) at point P is influenced by several factors related to the charge and its velocity.
Key Proportional Relationships
- The magnetic field is directly proportional to the magnitude of the charge, expressed as:
- ( B \propto q )
- The magnetic field is directly proportional to the velocity of the charge:
- ( B \propto V )
- The sine of the angle ($\theta$) between the velocity vector ($V \vec{T}$) and the magnetic field vector ($B \vec{T}$) affects the magnetic field:
- ( B \propto \sin \theta )
- The magnetic field is inversely proportional to the square of the distance (r) from the charge to the point P:
- ( B \propto \frac{1}{r^2} )
Combined Equation
- The overall equation combining these relationships is:
- ( B = k q V \sin \theta )
- The proportionality constant (k) is given by:
- ( k = \frac{\mu_0}{4\pi} )
- The complete expression for the magnetic field in SI units is:
- ( B = \frac{\mu_0 q V \sin \theta}{4\pi} )
Constants
- ( \mu_0 ) represents the permeability of free space (vacuum).
- The specific value of ( \mu_0 ) is:
- ( \mu_0 = 4\pi \times 10^{-7} \text{ H/m} )
- Permeability of free space is also referred to as permeability of vacuum.
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