Electric Fields What is an Electric Field? • An electric field is a region of space surrounding a charged object. • A stationary object experiences an electric force in this region because of its charge. • It extends outward through space. • Every charge is surrounded by both a gravitational and electric field. Describing an Electric Field • Electric fields have magnitude and direction. • Electric fields are vector quantities. • The magnitude of the field is determined by the strength of the force that is acting on a charge. • E = F/q • Force is measured in Newtons (N) and charge is measured in Coulombs (C). • Electric field strengths are measured in N/C Sample Problem • An electric field is measured using a positive test charge of 5.0 x 10-6 C. This test charge experiences a force of 2.0 x 10-4 N on it. What is the magnitude of the electric field at the location of the test charge? • E = F/q • E = 2.0 x 10-4 N/5.0 x 10-6 C • E = 40. N/C Describing an Electric Field • What two variables contribute to the strength of an electric field? • http://phet.colorado.edu/sims/charges-andfields/charges-and-fields_en.html • Field strength increases as distance decreases and as the magnitude of the charge increases. • E = Kq/d2 • (q is the charge producing the field and d is the distance from the charge) Sample problem • What is the magnitude of the electric field strength at a position that is 1.2 m from a point charge of 4.2 x 10-6 C? • E = (9.0x109 )(4.2x10-6 ) (1.2)2 • E = 26000 N/C Picturing an Electric Field • The direction of the electric field is identified as the direction the force would exert on a small POSITIVE test charge. • Vector diagrams are used to represent electric fields. • Not possible to show every vector so field lines, or lines of force, are used to represent electric fields. • Field lines point away from positive charges and toward negative charges. • http://phet.colorado.edu/sims/charges-and-fields/chargesand-fields_en.html • Lines drawn far apart represent weak fields. • Lines drawn close together represent strong fields. Electric Fields and Conductors • An electric field is equal to zero inside a conductor. • Excess charge resides on the surface. • The electric field is perpendicular to the surface. • If irregularly shaped, charge accumulates where the surface is smallest-for example at sharp points. Point to Ponder • Is there a limit to how strong an electric field could be? • Yes there is a limit. • The production of a field depends on a collection of charges. After reaching a certain density, these charges would begin to repel each other. • Examples of electric field strength-field in a fluorescent tube- 10 N/C -field produced by a lightning bolt-10,000 N/C -field produced by an electron in a hydrogen atom51, 000 N/C Energy and Electric Potential • When charges move because of a force, work is done. • If work is done on a charge, potential energy is gained. (For example; separating two unlike charges, or moving two like charges together). • If the work is done by the charge, potential energy is lost. (For example; separating two like charges, or moving two unlike charges together). Electric Potential Difference • Electric potential difference (∆V) is defined as the work done in moving a positive test charge between two points in an electric field. • ∆V = W/q • (W is the work done on moving the charge; q is the magnitude of the charge being moved). • ∆V is measured in J/C or volts (V). • http://phet.colorado.edu/sims/charges-andfields/charges-and-fields_en.html Sample Problem • If a 12 V battery does 1200 J of work transferring charge, how much charge is transferred? • ∆V = W/q • 12 = 1200/q • q = 100 C Electric Potential in a Uniform Field • A uniform field can be made by placing two large, flat, conducting plates parallel to each other. One is charged positively and the other is charged negatively. • The electric field between the plates is constant and work is done if the charge is moved in the direction opposite the electric field direction. • ∆V = W/q = Fd/q = (F/q)d = Ed Sample Problem • A voltmeter indicates that the electric potential difference between two plates is 70.0 V. The plates are 0.020 m apart. What electric field intensity exists between them? • ∆V = Ed • 70.0 = E(0.020) • E= 3500 N/C Application: Millikan’s Oil Drop Experiment • In a Millikan Oil Drop Experiment, a drop has been found to weigh 2.4 x 10-14 N. The parallel plates are separated by a distance of 1.2 cm. When the potential difference between the plates is 450 V, the drop is suspended, motionless. What is the charge on the oil drop? • ∆V = Ed • 450 = E(.012) • E = 37, 500 N/C • E = F/q • 37, 500 = 2.4 x 10-14 N/q • q = 6.4 x 10-19 C Application: Millikan’s Oil Drop Experiment • How many excess electrons are on the oil drop? • 1 electron = 1.6 x 10-19 C • q = 6.4 x 10-19 C • 6.4 x 10-19 /1.6 x 10-19 = # of electrons • # of electrons = 4 Capacitors • A capacitor is a device used for storing charge. • Capacitors store energy is the form of separated charges. • All capacitors are made up of two conductors that are separated by an insulator. • The two conductors have equal and opposite charges. • Capacitors are used in electric circuits to store charge. • A lightning storm acts as a giant capacitor arrangement (The cloud is one charged plate and the Earth is the other. The air acts as the insulator) Capacitors • C = q/∆V • (q is the net charge on each plate; ∆V is the stored energy obtained by the work done in separating the charges). • The unit for capacitance is the C/V or the farad, F. Discharging a Capacitor • When plates of a capacitor are connected to a conductor, it will discharge. • Charges move back to region of lowest potential energy. • Example: flash in a camera