[ruby-on-rails] find vs find_by vs where

The accepted answer generally covers it all, but I'd like to add something, just incase you are planning to work with the model in a way like updating, and you are retrieving a single record(whose id you do not know), Then find_by is the way to go, because it retrieves the record and does not put it in an array

irb(main):037:0> @kit = Kit.find_by(number: "3456")
  Kit Load (0.9ms)  SELECT "kits".* FROM "kits" WHERE "kits"."number" = 
 '3456' LIMIT 1
=> #<Kit id: 1, number: "3456", created_at: "2015-05-12 06:10:56",   
updated_at: "2015-05-12 06:10:56", job_id: nil>

irb(main):038:0> @kit.update(job_id: 2)
(0.2ms)  BEGIN Kit Exists (0.4ms)  SELECT 1 AS one FROM "kits" WHERE  
("kits"."number" = '3456' AND "kits"."id" != 1) LIMIT 1 SQL (0.5ms)   
UPDATE "kits" SET "job_id" = $1, "updated_at" = $2 WHERE  "kits"."id" = 
1  [["job_id", 2], ["updated_at", Tue, 12 May 2015 07:16:58 UTC +00:00]] 
(0.6ms)  COMMIT => true

but if you use where then you can not update it directly

irb(main):039:0> @kit = Kit.where(number: "3456")
Kit Load (1.2ms)  SELECT "kits".* FROM "kits" WHERE "kits"."number" =  
'3456' => #<ActiveRecord::Relation [#<Kit id: 1, number: "3456", 
created_at: "2015-05-12 06:10:56", updated_at: "2015-05-12 07:16:58", 
job_id: 2>]>

irb(main):040:0> @kit.update(job_id: 3)
ArgumentError: wrong number of arguments (1 for 2)

in such a case you would have to specify it like this

irb(main):043:0> @kit[0].update(job_id: 3)
(0.2ms)  BEGIN Kit Exists (0.6ms)  SELECT 1 AS one FROM "kits" WHERE 
("kits"."number" = '3456' AND "kits"."id" != 1) LIMIT 1 SQL (0.6ms)   
UPDATE "kits" SET "job_id" = $1, "updated_at" = $2 WHERE "kits"."id" = 1  
[["job_id", 3], ["updated_at", Tue, 12 May 2015 07:28:04 UTC +00:00]]
(0.5ms)  COMMIT => true