is it possible in a dc circuit consisting of an dc voltage source and a resistor in series ,that when voltage is high current is low

 

The relationship for current is I - E/R. If R is high, then I will be low even is E is also high. If E is 100 volts and R is 5 Gohms, then I will be .0000000002 amps.

 

If the resistor is fixed, the more voltage you place across the resistor, the more current will flow through it. If you increase the resistance, the current will decrease.

Slight correction to beenthere's formula: I = E/R, or in other words, Current = Voltage / Resistance

What is it that you're trying to do?