Step 1: Two ways to increase the force on a current-carrying conductor:
\[ F = BIL \sin\theta \]
where:
\( F \) = force on the conductor, \( B \) = magnetic field strength, \( I \) = current, \( L \) = length of the conductor in the field, \( \theta \) = angle between field and current.
Step 2: Device based on this principle:
The working of an
electric motor depends on the force experienced by a current-carrying conductor in a magnetic field.
Step 3: Fleming’s Left-Hand Rule:
It states that —
“If the forefinger, middle finger, and thumb of the left hand are stretched mutually perpendicular to each other, then —”
Note: The interaction between magnetic field and electric current is the fundamental principle behind all
electromechanical devices such as electric motors, loudspeakers, and galvanometers.
Find the unknown frequency if 24 is the median of the following frequency distribution:
\[\begin{array}{|c|c|c|c|c|c|} \hline \text{Class-interval} & 0-10 & 10-20 & 20-30 & 30-40 & 40-50 \\ \hline \text{Frequency} & 5 & 25 & 25 & \text{$p$} & 7 \\ \hline \end{array}\]
Two concentric circles are of radii $8\ \text{cm}$ and $5\ \text{cm}$. Find the length of the chord of the larger circle which touches (is tangent to) the smaller circle.