Step 1: Understanding the Concept:
Fleming's left-hand rule is a mnemonic used to find the direction of the force (or motion) on a current-carrying conductor in a magnetic field. This is the principle behind electric motors.
Step 2: Detailed Explanation:
To use the rule, you orient your left hand so that the thumb, index finger (forefinger), and middle finger are mutually perpendicular to each other.
\[\begin{array}{rl} \bullet & \text{The Thumb represents the direction of the Thrust or Force (Father).} \\ \bullet & \text{The Forefinger (Index finger) represents the direction of the magnetic Field (Mother).} \\ \bullet & \text{The Centre finger (Middle finger) represents the direction of the Current (Child).} \\ \end{array}\]
So, the index finger indicates the direction of the magnetic field.
Step 3: Final Answer:
According to Fleming's left-hand rule, the index finger points in the direction of the magnetic field.
An air filled parallel plate electrostatic actuator is shown in the figure. The area of each capacitor plate is $100 \mu m \times 100 \mu m$. The distance between the plates $d_0 = 1 \mu m$ when both the capacitor charge and spring restoring force are zero as shown in Figure (a). A linear spring of constant $k = 0.01 N/m$ is connected to the movable plate. When charge is supplied to the capacitor using a current source, the top plate moves as shown in Figure (b). The magnitude of minimum charge (Q) required to momentarily close the gap between the plates is ________ $\times 10^{-14} C$ (rounded off to two decimal places). Note: Assume a full range of motion is possible for the top plate and there is no fringe capacitance. The permittivity of free space is $\epsilon_0 = 8.85 \times 10^{-12} F/m$ and relative permittivity of air ($\epsilon_r$) is 1.