Resistance (of a wire) Where R is resistance in Ohms, L the length, and A the cross sectional area.

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Presentation transcript:

Resistance (of a wire) Where R is resistance in Ohms, L the length, and A the cross sectional area

Diagramming circuits

Ohm’s Law Mnemonic P = IV where 1000W = 1kiloWatt 1kW * 1 hour = 1kWh The cost of 1 kWh is $0.134 in this area. kW * hours * $/kWh = Cost for one hour of operation P = IV where P = Power (in Watts, the rate at which energy is consumed) I = Current V = Voltage Typical household voltage is 120V.

Important equations for Electricity Series Circuits VT = V1 + V2 + V3 + … V = Voltage (Volts) I = Current (Amps) R = Resistance (Ohms) RT = R1 + R2 + R3 + … IT = I1 = I2 = I3 = … In a series electric circuit all of the electrons must flow through the same elements. In a series circuit each resistor adds to the total resistance. In a parallel electric circuit electrons may flow through different circuit elements. In a parallel circuit each resistor provides another way for electrons to flow. Parallel Circuits VT = V1 = V2 = V3 = … RT < R1, R2, R3, … IT = I1 + I2 + I3 + …

Tell me about heart bypassess…

A V V V V A V V A V V Series Circuit I4 = VT = V1 + V2 + V3 + … R7 = RT = R1 + R2 + R3 + … + R8 = 2 V6 = V8 = V V A I5 = V9 = 5 R9 = IT = I1 = I2 = I3 = … V V A I6 = R10 = 4 V V V10 =4

V V A Parallel Circuit R1 = 100 Ohms VT = 120V R2 = 200 Ohms V1 = R3 = RT = V3 = V2, I2 V3, I3 V V R1 V1, I1 R2 R3 A IT IT = I1 = I2 = I3 = 0.8A

KWH Utility $/kWh CH $0.134 Cost / day = kW * Hours/day * $/kWh Item Watts kW (1000W) Current Hours/day Cost / day Cost / year Total P = IV where P is power in Watts, I is current (in Amps), and V is voltage. Assume V = 120V

Ideal Gas Law: PV = nRT As pressure increases … As the number of atoms increases … As the temperature increases … As the volume changes … http://phet.colorado.edu/en/simulation/gas-properties

Pendular Motion The period of the simple pendulum is given by Where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. T is a function of length. It has a weak dependence on the angular displacement and should not be affected by the mass.

Review: Key characteristics of waves Amplitude: The height of the wave from node to antinode (transverse waves), or the distance between compression and rarefaction in a in a compressive wave. Measured in units describing the wave Wavelength: The distance traversed by a full cycle of the wave Node: The “zero point” of the wave Antinode: The extreme point of the wave (max or min amplitude) Period: The time between successive waves Frequency: The rate of occurrence of the wave (in Hertz or cycles / second) Antinode Node Amplitude Wavelength

Speed of Waves The relationship between wave speed, wavelength, and frequency is simple For a given temperature, pressure, material, etc. v = fl, where v is the speed, f is the frequency, and lambda is the wavelength.