Question

14. The amount of voltage, V volts, needed to send
a fixed amount of current through a wire, is directly
proportional to its resistance, R ohms. When R = 6,
V=9.
(i) Find an equation connecting V and R.
(ii) Find the value of V when R = 15.
(iii) Calculate the value of R when V = 15.
(iv) Draw the graph of V against R.​

Answer 1

Step-by-step explanation:

relationship between the voltage, current, and resistance in an electric circuit: i = v/r. The current is directly proportional to the voltage and inversely proportional to the resistance.

Answer 2

Answer:

(i)    V∝R    v=kr   9=k6     k=9/6    k=1.5          Equation, V=1.5R

(ii)   V=1.5R            v=1.5(15)             v=22.5

(iii)  V=1.5R            15=1.5R      

As, V=KR   and R=V/K

      R=15/1.5      R=10

(iv)  It is in the image below.....