UNIT 10 – D.C CIRCUITS LEARNING OBJECTIVES LEARNING OBJECTIVES LEARNING OBJECTIVES INTERNAL RESISTANCE • All sources of e.m.f. have an internal resistance. INTERNAL RESISTANCE CLASS ACTIVITY #1 CLASS ACTIVITY #2 DETERMINING INTERNAL RESISTANCE How can we determine the internal resistance of a power supply? CLASS ACTIVITY #3 CLASS ACTIVITY #4 THE EFFECTS OF INTERNAL RESISTANCE What is the maximum current that a power supply can provide? • The terminal p.d. of the battery depends on the resistance of the external resistor. • For an external resistor of resistance 1.0 Ω, the terminal p.d. is 1.5 V – half of the e.m.f. • The terminal p.d. approaches the value of the e.m.f. when the external resistance R is very much greater than the internal resistance of the battery. • The more current a battery supplies, the more its terminal p.d. will decrease. CLASS ACTIVITY #5 KIRCHHOFF’S FIRST LAW Kirchhoff’s first law is an expression of the conservation of charge. The idea is that the total amount of charge entering a point must exit the point. CLASS ACTIVITY #6 KIRCHHOFF’S SECOND LAW Kirchhoff’s second law is a consequence of the principle of conservation of CLASS ACTIVITY #7 CLASS ACTIVITY #7 SIGNS AND DIRECTIONS Caution is necessary when applying Kirchhoff’s second law. You need to take account of the ways in which the sources of e.m.f are connected and the directions of the currents. SIGNS AND DIRECTIONS CLASS ACTIVITY #8 CLASS ACTIVITY #9 CLASS ACTIVITY #10 RESISTOR COMBINATIONS RESISTORS IN SERIES V = π1 + π2 π = πΌπ , π1 = πΌπ 1 , π2 = πΌπ 2 IR = πΌπ 1 + πΌπ 2 R = π 1 + π 2 RESISTORS IN PARALLEL I = πΌ1 + πΌ2 π πΌ= π π π π = + π π 1 π 2 1 1 1 = + π π 1 π 2 πΌ1 π 1 − πΌ2 π 2 = 0π Because there is no source of e.m.f in the loop CLASS ACTIVITY #11 RECAP ANY QUESTIONS? CLASS ACTIVITY #11 CLASS ACTIVITY #12 CLASS ACTIVITY #13 POTENTIAL DIVIDERS How can we get an output of 3.0 V from a battery of e.m.f 6.0 V? POTENTIAL DIVIDERS CLASS ACTIVITY #14 CLASS ACTIVITY #15 POTENTIOMETER CIRCUITS A potentiometer is a device used for comparing potential differences. CLASS ACTIVITY #16 LDR’S AS SENSORS How is a light-dependent resistor (LDR) used as a sensor? The voltage of the supply is shared between the two resistors in proportion to their resistance so, as the light level changes and the LDR’s resistance changes, so does the voltage across each of the resistors. The two resistors form a potential divider whose output changes automatically with changing light intensities. THERMISTORS AS SENSORS The thermistors that we refer to in this course are known as negative temperature coefficient (NTC) thermistors. This means that, when the temperature rises, the resistance of the thermistor falls. The thermistor can be used as a sensing device in the same way as an LDR. Instead of sensing a change in light level, it senses a change in temperature. COMPARING E.M.F’S WITH POTENTIOMETERS CLASS ACTIVITY #17 CLASS ACTIVITY #18