Experiment 3

Electric Field and Its Measurement

Introduction to Electric Fields

  • Definition: An electric field is a region around a charged particle where a force would be experienced by other charged particles.

  • Source of Electric Field: Always associated with charge.

  • Requires separation of positive and negative charges to create an electric field.

Equipment for Electric Field Generation

Power Supply / Battery Eliminator
  • Description: Behaves like a battery; can select various voltages (e.g., 4V, 6V, 9V, 10V).

  • Specific Setting for Experiment: Used at 10 volts.

  • Features:

    • Power switch (on/off).

    • Two terminals (black and red), labeled plus (+) and minus (-).

Digital Multimeter (DMM)
  • Function: Measures voltage, current, and resistance.

  • For this experiment, it will be set to measure voltage.

  • Voltage Types:

    • AC Voltage: Denoted with a wavy line (alternating current).

    • DC Voltage: Constant voltage (direct current).

  • Multimeter Settings: Set to 20-volts max scale for measurement of the 10-volt power supply.

Connection to Multimeter
  • Multimeter has two leads (wires with metal tips): red (positive) and black (negative).

  • The measurement taken is the voltage difference between these two probes.

  • Voltage also referred to as electric potential.

  • Electric potential: Defined at a single point; voltage defined as the difference between two points in the electric field.

Measuring the Electric Field

Creating the Electric Field
  • Materials Required: Tray with water (high resistance but slightly conductive), aluminum plates (acting as parallel plate capacitors), and alligator clips for connections.

  • Procedure:

    • Connect power supply to the plates using alligator clips.

    • Plates are spaced apart by a distance of 16 cm.

    • Water acts as a medium to allow current flow for measurements.

Direct Measurement of Electric Potential
  • Using the black probe connected to the ground (0 volts) as a reference:

    • Measure voltage on the positively connected plate; expect readings of ~10 volts where the power supply is connected.

    • Over various points between the plates, voltage increases linearly from 0 volts close to negative plate to 10 volts near the positive plate.

  • Measurement Steps:

    • Move probe across different positions and record voltage (e.g., 1.8V, 2.8V, up to 10V).

    • Potential measured indicates existence of electric field.

Defining Electric Field
  • Electric field defined as change in voltage per unit distance:
    E=ΔVΔxE = \frac{\Delta V}{\Delta x}

  • Units: volts per centimeter (V/cm) or volts per meter (V/m); equivalent to newtons per coulomb (N/C).

  • Experimentation should include measuring at 8-10 points, noting position and voltage for graphing.

Effects of Plate Separation
  • Investigate changing the separation between plates (e.g., reduce to 7-8 cm) and measure again to find differing slopes in the graph.

  • Theory: As plates are brought closer together, they will draw more charge from the power supply at constant voltage (10V).

  • Explanation: Closer proximity increases attraction between positive and negative charges, resulting in stronger electric field.

    • Note that charge density might increase as plates get closer thereby affecting field strength.

Extension: Measuring Electric Field Using Probes

  • An alternative electric field measurement technique involves shifting probes in water and calculating potential differences over known distances (e.g., 2 centimeters apart).

  • Calculate electric field as follows:
    E=ΔVΔxE = \frac{\Delta V}{\Delta x}
    where (\Delta V) is the change in voltage measured and (\Delta x) is the distance between probes.

Conductors and Electric Field Behavior
  • Conductors placed in electric fields polarize, causing charge separation without total loss of neutrality.

  • Termination of electric field lines perpendicularly to conductors, thus, no electric field inside conductors (Faraday Cage principle). Therefore,

    • In the interior of a conductive ring, voltage remains constant, hence zero electric field exists due to no potential difference inside.

Observing Polarization

  • Polarization of a conductor (metal ring placed in an electric field):

    • Negative charges accumulate on one side of the conductor, creating a net positive charge on the opposite side.

    • Resulting electric field lines terminate perpendicular to the surface of the conductor,

    • This behavior manifests in real-world shielding applications like the Faraday Cage, used for protection against electric fields.

Further Experiments with Dipole Source
  • Demonstrates creation of non-uniform electric fields using two electrodes generating an electric dipole.

  • Measure potential at various points in proximity to the dipole to illustrate varying electric field strengths, illustrating field curvature and intensity.

  • Verify electric field direction using multimeter readings that yield voltage relative results.

Conclusion

  • Summary of findings indicates that electric fields are dependent on charge distribution and proximity between charge sources.

  • Various experimental techniques reinforce understanding of electric field principles, allowing for quantitative measurements leading to visual confirmations via graphs of electric potential variation along defined paths.

  • Encourages further exploration of electric fields in different configurations to enhance understanding of underlying principles in electrostatics and practical applications.