Fig． 1.1 shows two identical cylindrical metal conductors $$\(P\)$$ and $$\(Q\)$$ ，each of length $$\(L\)$$ and cross－sectional area $$\(A\)$$ ． Fig． 1.1 The conductors are placed parallel to each other．The perpendicular distance from the midpoint of P to point X is $$\(p\)$$ ．The perpendicular distance from the midpoint of Q to point X is $$\(q\)$$ ． The two conductors are electrically connected in parallel．This parallel combination is connected in series to a power supply and a resistor．The potential difference $$\(V\)$$ between the ends of $$\(P\)$$ is the same as the potential difference between the ends of $$\(Q\)$$ ． The magnetic flux density at $$\(X\)$$ due to the currents in the conductors is $$\(B\)$$ ． It is suggested that $$\(B\)$$ is related to $$\(p\)$$ by the relationship $$\[ B=\frac{Y A V}{L p}+\frac{Y Z A V}{L q} \]$$ where $$\(Y\)$$ and $$\(Z\)$$ are constants． Plan a laboratory experiment to test the relationship between $$\(B\)$$ and $$\(p\)$$ ． Draw a diagram showing the arrangement of your equipment． Explain how the results could be used to determine values for $$\(Y\)$$ and $$\(Z\)$$ ． In your plan you should include： －the procedure to be followed －the measurements to be taken －the control of variables －the analysis of the data －any safety precautions to be taken． . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

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