We have fabricated and measured a resistively coupled single electron trans
istor (R-SET). In our implementation, a chromium thin-film resistive gate w
as connected directly to a mesoscopic island formed between two ultrasmall
Al/AlOx/Al tunnel junctions. The transistor was fabricated by electron beam
lithography using the suspended bridge technique. We have measured the cur
rent-voltage-gate voltage dependences of the R-SET and observed a character
istic Coulomb blockade pattern. Our simulations based on the orthodox theor
y of single electron tunneling show good qualitative agreement with the exp
erimental data.