Logic Masters Deutschland e.V.

Ohm's Law

(Published on 27. October 2025, 10:22 by Burak Alver)

Ohm's Law by Burak Alver.

Rules:

Sudoku: Normal sudoku rules apply, i.e., each row, column, and 3x3 box must contain digits 1-9 once each.

Region Sum Line: Digits on the blue region sum line have an equal sum within each box it passes through. (Note: 6 squares at R34C123 are all on the region sum line.)

German whisper line: Two cells connected by green German whisper lines must have a difference of at least 5.

Renban lines: Purple renban lines contain a set of consecutive digits in any order without repeats.

Parity line: Every pair of consecutive cells along the red parity line must contain an even digit and an odd digit.

Kropki dots: Digits separated by white dots are consecutive. Digits separated by black kropki dots have a 1:2 ratio. Not all dots are given.

Arrow: Digits along the arrow sum to the number in the arrow's circle.

Ohm's Law: The grid contains an electric circuit with a power supply of V Volts and a resistor of R Ohms. Hence, a current of I Amperes is flowing through the circuit, where I = V/R. These values must be determined by the solver using the following information: - The cage labeled V contains the 3-digit number V, reading from top to bottom. - The cage labeled R contains digits that sum to R. This sum is also equal to the region sums of the region sum line. - The arrow's circle contains the current I.

+ and - signs are purely cosmetic and do not contribute to the solution path.

Sudoku: Normal sudoku rules apply, i.e., each row, column, and 3x3 box must contain digits 1-9 once each.

SudokuPad Link

Solution code: Digits in row 6 from left to right.

Last changed on on 27. October 2025, 11:30

Solved by TripleABattery, Ragna, albertol, ludvigr04, jalebc, cryptique, SKORP17, ole-1995a, brimmy, Jagga, moo, dkfan9, Merdock, dzamie, nunc, MartinR, Crul, Julianl, InterestingAlgae
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Comments

on 28. October 2025, 19:31 by dzamie
Rather tricky! I'm very glad for sudokupad's "calculate sums of cells" feature. Gradually narrowing down what V was was pretty fun!

on 27. October 2025, 15:48 by albertol
really liked how you represented the formula using the lines(also the circuit).
had a really fun time while solving.

on 27. October 2025, 14:11 by Ragna
Wonderful puzzle! Normally I'm afraid of electricity...
Thank you, Burak. :-)

Difficulty:3
Rating:90 %
Solved:19 times
Observed:0 times
ID:000PVH

Puzzle variant Variant combination Math knowledge

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Solution code:

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