In \( H_2SO_4 \), hydrogen has an oxidation state of +1, and oxygen has an oxidation state of -2. The total charge on the molecule is 0, so the sum of the oxidation states of all atoms in \( H_2SO_4 \) must also be 0.
Let the oxidation state of sulfur be \( x \). The equation for the oxidation states is:
\[
2(+1) + x + 4(-2) = 0
\]
Simplifying:
\[
2 + x - 8 = 0
\]
\[
x - 6 = 0
\]
\[
x = +6
\]
Therefore, the oxidation state of sulfur in \( H_2SO_4 \) is +6.