State Kirchhoff's first law.
- (a)State Kirchhoff's first law.[1]
- (b)The variations with potential difference V of the current I for a resistor X and for a semiconductor diode are shown in Fig. 6.1. [Figure 6.1]
- (b)(i)Determine the resistance of the diode for a potential difference V of 0.60 V. resistance =[3]
- (b)(ii)Describe, qualitatively, the variation of the resistance of the diode as V increases from 0.60 V to 0.75 V.[1]
- (c)The diode and the resistor X in (b) are connected into the circuit shown in Fig. 6.2. [Figure 6.2] The cell has electromotive force (e.m.f.) E and negligible internal resistance. Resistor Y is connected in parallel with resistor X and the diode. The current in the cell is 9.3mA and the current in the diode is 7.5 mA.
- (c)(i)Use Fig. 6.1 to determine E. E =[1]
- (c)(ii)Determine the resistance of resistor Y. resistance[2]
- (c)(iii)Calculate the power dissipated in the diode. power =[2]
- (c)(iv)The cell is now replaced by a new cell of e.m.f. 0.50 V and negligible internal resistance. Use Fig. 6.1 to determine the new current in the diode. current[1]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2019). The mark or mark type is shown in brackets.
- [B1] sum of current(s) into junction = sum of current(s) out of junction OR (algebraic) sum of current(s) at a junction is zero
- [C1] R = V/I
- [C1] = 0.60/7.5 × 10-3
- [A1] = 80 Ω
- [B1] resistance decreases
- [A1] E = 0.60 + 0.30 = 0.90 V
- [C1] (I =) 9.3 - 7.5
- [A1] I = 1.8 (mA) or 1.8 × 10-3 (A) AND R = 0.90/1.8 × 10-3 = 500 Ω OR
- [(C1)] total resistance = 0.90 / 9.3 × 10−3 = 96.8 (Ω) AND total resistance of diode and X = 0.90 / 7.5 × 10–3 = 120 (Ω) AND 1/96.8=1/R+1/120
- [(A1)] R = 500 Ω
- [C1] P = VI or I2R or V2/R
- [A1] = 0.60 × 7.5 × 10−3 or (7.5 × 10-3)2 × 80 or 0.602/80 AND = 4.5 x 10-3 W
- [A1] current = 2.5 mA
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