Making quick use of a change it requested in the city's election law, Sterling Tucker's campaign organization has obtained $10,600 from supporters, campaign workers and close associates who borrowed the money from a bank and then reloaned it to the campaign committee.

City Council Chairman Tucker himself borrowed $2,000 from the Nationa l Bank of Washington for use by his campaign organization.

The D.C. Board of Elections and Ethics ruled June 28 that such financing arrangements could be made. The Tucker organization had requested the money, saying it would enable the committee to "smooth out the peaks and valleys in cash flow" problems that often beset political campaigns.

The first three loans came from Tucker ($2,000), campaign manager Gerald Wallette ($900) and deputy campaign manager Lee Carty ($950).

The next six loans came from lawyers whose firms are closely associated with the campaign. Curtis A. Rotter, Marvin Willig and Cory Amron loaned $950 each. All three are members of the law firm of Danzansky, Dickey, Tydings, Quint and Gordon - the same firm as Robert B. Washington Jr., the chairman of the campaign's executive committee.

Harley J. Daniels ($950), Steve Rothe ($1,000) and Michael Sacks ($1,000) also gave the committee loans. Daniels is general counsel to the campaign and Roth and Sacks are partners with him in the law that bears that names - Daniels, Roth and Sacks.

John Hall, president of Mark Battle Associates, Inc. loaned $950 to the committee. His firm has a contract with the committee to buy media advertising time. Two other loans of $1,000 each were made by consultant William H. Marumoto and lawyer Albert P. Hopkins Jr., neither of whom is directly involved in the campaign organization.

Although some lenders refuse to disclose the source of the money, most of the loans appeared to come from the National Bank of Washington. Campaign supervisor Robert Washington said all of the loans were conventional bank loans and would be repaid.

"We had talked to the National Bank of Washington and if people asked us about a bank, the National Bank of Washington was the bank that was available to make a regular commercial loan," Washington said.

The loans were taken out at a time that the campaign committee was financing a month-long showing of a 4 1/2-minute minidocumentary that cost $18,000 to produce and another $30,000 to put on the air.

Although the Tucker organization requested the election law change, the provision can be used by any candidate.