Question

If P is varies jointly as V and I, fill in the missing values. Round the answers to three significant digits. 876 1.48 95.4 3.68 27.9 75.8 486 2.26 624 Ans.: 1.03 Ans.: 44.5 Ans.: 637

Answer 1

P V I (i) 876 95.4 1.48 (ii) - 27.9 3.68 (iii) 486 75.8 - (iv) 624 - 2.26 O is directly proportional to the product of V and I p alpha (V) (I) Let P = K downarrow constant V I rightarrow (1) put first row values in (1) 876 = k (95.4)(1.48) k almostequalto 6.204 Now for second row, P = K V I = (6.204((27.9) (3.68) \r\n P almostequalto 637 For third row, I = -P/K V = 486/(6.204) (75.8) I almostequalto 1.03 For fourth row, V = P/KI = 624/(6.24) (2.26) V almostequalto 44.5 R alpha P and R alpha 1/I^2 rightarrow R alpha P/I^2 Let R = K p/I^2 rightarrow (1) (i) put first row values in (1) 475 = K 244/(3.05)^2 rightarrow k almostequalto 18.109 (ii) Row- I = squareroot KP/R = squareroot (18.109) (428)/(5.25)^2 almostequalto 281 (iii) Row- I = squareroot KP/R = squareroot (18.109) (148)/625 almostequalto 2.07