Answer : The maximum current will be, [tex]9.13\times 10^{-3}A[/tex]
Explanation :
The relationship between power, resistance and current is:
[tex]P=I^2\times R[/tex]
where,
P = power = 0.5 watts
I = current = ?
R = resistance = 6 kohms = 6000 ohms
Now put all the given values in the above formula, we get:
[tex]0.5=I^2\times 6000[/tex]
[tex]I=9.13\times 10^{-3}A[/tex]
Thus, the maximum current will be, [tex]9.13\times 10^{-3}A[/tex]